{"id":27455,"date":"2026-05-05T09:00:00","date_gmt":"2026-05-05T06:00:00","guid":{"rendered":"https:\/\/derste.com\/yazilar\/?p=27455"},"modified":"2026-03-28T16:20:08","modified_gmt":"2026-03-28T13:20:08","slug":"ayt-matematik-integral-ve-turev-ozet","status":"publish","type":"post","link":"https:\/\/derste.com\/yazilar\/sinav\/ayt-matematik-integral-ve-turev-ozet\/","title":{"rendered":"AYT Matematik \u0130ntegral ve T\u00fcrev \u00d6zet"},"content":{"rendered":"<p>AYT Matematik s\u0131nav\u0131nda <strong>integral ve t\u00fcrev<\/strong> konular\u0131, toplam sorular\u0131n \u00f6nemli bir b\u00f6l\u00fcm\u00fcn\u00fc olu\u015fturur. Bu iki konu birbirine s\u0131k\u0131 s\u0131k\u0131ya ba\u011fl\u0131d\u0131r: t\u00fcrev, bir fonksiyonun de\u011fi\u015fim h\u0131z\u0131n\u0131 incelerken; integral, t\u00fcrevin tersine bir toplama (biriktirme) i\u015flemidir. Bu rehberde, AYT\u2019ye haz\u0131rlanan \u00f6\u011frenciler i\u00e7in t\u00fcrev ve integral konular\u0131n\u0131 form\u00fcller, \u00e7\u00f6z\u00fcm teknikleri ve s\u0131nav stratejileriyle birlikte kapsaml\u0131 \u015fekilde \u00f6zetliyoruz.<\/p>\n<h2>T\u00fcrev Nedir? Temel Tan\u0131m<\/h2>\n<p>T\u00fcrev, bir fonksiyonun belirli bir noktadaki <strong>anl\u0131k de\u011fi\u015fim oran\u0131n\u0131<\/strong> ifade eder. Matematiksel olarak:<\/p>\n<p style=\"text-align:center;\"><strong>f\u2019(x) = lim(h\u21920) [f(x+h) \u2212 f(x)] \/ h<\/strong><\/p>\n<p>Geometrik olarak t\u00fcrev, fonksiyon e\u011frisine \u00e7izilen <strong>te\u011fet do\u011frusunun e\u011fimi<\/strong>dir. T\u00fcrev s\u0131f\u0131r olan noktalarda fonksiyon yerel maksimum veya minimum de\u011fer alabilir; bu durum, optimizasyon ve grafik \u00e7izim sorular\u0131n\u0131n temelini olu\u015fturur.<\/p>\n<h2>T\u00fcrev Kurallar\u0131 Tablosu<\/h2>\n<table>\n<thead>\n<tr>\n<th>Kural<\/th>\n<th>Form\u00fcl<\/th>\n<th>\u00d6rnek<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Sabit Kural<\/td>\n<td>(c)\u2019 = 0<\/td>\n<td>(5)\u2019 = 0<\/td>\n<\/tr>\n<tr>\n<td>Kuvvet Kural\u0131<\/td>\n<td>(x\u207f)\u2019 = n\u00b7x\u207f\u207b\u00b9<\/td>\n<td>(x\u00b3)\u2019 = 3x\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Sabit \u00c7arpan<\/td>\n<td>(c\u00b7f)\u2019 = c\u00b7f\u2019<\/td>\n<td>(4x\u00b2)\u2019 = 8x<\/td>\n<\/tr>\n<tr>\n<td>Toplam\/Fark<\/td>\n<td>(f \u00b1 g)\u2019 = f\u2019 \u00b1 g\u2019<\/td>\n<td>(x\u00b2 + 3x)\u2019 = 2x + 3<\/td>\n<\/tr>\n<tr>\n<td>\u00c7arp\u0131m Kural\u0131<\/td>\n<td>(f\u00b7g)\u2019 = f\u2019\u00b7g + f\u00b7g\u2019<\/td>\n<td>(x\u00b7sinx)\u2019 = sinx + x\u00b7cosx<\/td>\n<\/tr>\n<tr>\n<td>B\u00f6l\u00fcm Kural\u0131<\/td>\n<td>(f\/g)\u2019 = (f\u2019\u00b7g \u2212 f\u00b7g\u2019) \/ g\u00b2<\/td>\n<td>(x\/e\u02e3)\u2019 = (e\u02e3 \u2212 x\u00b7e\u02e3) \/ e\u00b2\u02e3<\/td>\n<\/tr>\n<tr>\n<td>Zincir Kural\u0131<\/td>\n<td>[f(g(x))]\u2019 = f\u2019(g(x))\u00b7g\u2019(x)<\/td>\n<td>(sin2x)\u2019 = 2\u00b7cos2x<\/td>\n<\/tr>\n<tr>\n<td>\u00dcstel Fonksiyon<\/td>\n<td>(e\u02e3)\u2019 = e\u02e3<\/td>\n<td>(e\u00b3\u02e3)\u2019 = 3e\u00b3\u02e3<\/td>\n<\/tr>\n<tr>\n<td>Logaritma<\/td>\n<td>(lnx)\u2019 = 1\/x<\/td>\n<td>(ln3x)\u2019 = 1\/x<\/td>\n<\/tr>\n<tr>\n<td>Trigonometrik<\/td>\n<td>(sinx)\u2019 = cosx, (cosx)\u2019 = \u2212sinx<\/td>\n<td>(tanx)\u2019 = sec\u00b2x<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>T\u00fcrevde \u00d6nemli Uygulamalar<\/h2>\n<h3>1. Maksimum ve Minimum (Ekstremum) Noktalar\u0131<\/h3>\n<p>Bir fonksiyonun <strong>kritik noktalar\u0131<\/strong>, f\u2019(x) = 0 veya f\u2019(x)\u2019in tan\u0131ms\u0131z oldu\u011fu noktalard\u0131r. \u0130kinci t\u00fcrev testi ile bu noktalar\u0131n maksimum mu minimum mu oldu\u011fu belirlenir:<\/p>\n<ul>\n<li>f\u2019\u2019(x) &gt; 0 ise <strong>yerel minimum<\/strong><\/li>\n<li>f\u2019\u2019(x) &lt; 0 ise <strong>yerel maksimum<\/strong><\/li>\n<li>f\u2019\u2019(x) = 0 ise b\u00fck\u00fcm noktas\u0131 olabilir<\/li>\n<\/ul>\n<h3>2. Artan-Azalan Aral\u0131klar<\/h3>\n<p>f\u2019(x) &gt; 0 olan aral\u0131klarda fonksiyon <strong>artand\u0131r<\/strong>, f\u2019(x) &lt; 0 olan aral\u0131klarda <strong>azaland\u0131r<\/strong>. AYT\u2019de grafik yorumlama sorular\u0131n\u0131n b\u00fcy\u00fck \u00e7o\u011funlu\u011fu bu prensibe dayan\u0131r.<\/p>\n<h3>3. Te\u011fet ve Normal Do\u011fru Denklemi<\/h3>\n<p>x = a noktas\u0131ndaki te\u011fet do\u011frusu: <strong>y \u2212 f(a) = f\u2019(a)\u00b7(x \u2212 a)<\/strong><\/p>\n<p>Normal do\u011fru ise te\u011fete dik olup e\u011fimi \u22121\/f\u2019(a) olur.<\/p>\n<h2>\u0130ntegral Nedir? Belirsiz ve Belirli \u0130ntegral<\/h2>\n<p>\u0130ntegral, t\u00fcrevin tersi i\u015flemidir. \u0130ki temel t\u00fcr\u00fc vard\u0131r:<\/p>\n<h3>Belirsiz \u0130ntegral (Ters T\u00fcrev)<\/h3>\n<p>Belirsiz integral, bir fonksiyonun t\u00fcm ilkel fonksiyonlar\u0131n\u0131 (anti-t\u00fcrevlerini) bulma i\u015flemidir:<\/p>\n<p style=\"text-align:center;\"><strong>\u222b f(x) dx = F(x) + C<\/strong><\/p>\n<p>Burada C, integral sabitidir. Her t\u00fcrev kural\u0131n\u0131n bir integral kar\u015f\u0131l\u0131\u011f\u0131 vard\u0131r.<\/p>\n<h3>Belirli \u0130ntegral<\/h3>\n<p>Belirli integral, bir fonksiyonun belirli bir aral\u0131ktaki toplam\u0131n\u0131 hesaplar:<\/p>\n<p style=\"text-align:center;\"><strong>\u222b\u2090\u1d47 f(x) dx = F(b) \u2212 F(a)<\/strong><\/p>\n<p>Bu form\u00fcl, <strong>Analizin Temel Teoremi<\/strong> olarak bilinir ve AYT\u2019nin en \u00f6nemli konular\u0131ndan biridir.<\/p>\n<h2>Temel \u0130ntegral Form\u00fclleri<\/h2>\n<table>\n<thead>\n<tr>\n<th>Fonksiyon<\/th>\n<th>\u0130ntegral<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u222b x\u207f dx<\/td>\n<td>x\u207f\u207a\u00b9 \/ (n+1) + C (n \u2260 \u22121)<\/td>\n<\/tr>\n<tr>\n<td>\u222b 1\/x dx<\/td>\n<td>ln|x| + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b e\u02e3 dx<\/td>\n<td>e\u02e3 + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b a\u02e3 dx<\/td>\n<td>a\u02e3 \/ lna + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b sinx dx<\/td>\n<td>\u2212cosx + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b cosx dx<\/td>\n<td>sinx + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b sec\u00b2x dx<\/td>\n<td>tanx + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b csc\u00b2x dx<\/td>\n<td>\u2212cotx + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b 1\/(1+x\u00b2) dx<\/td>\n<td>arctanx + C<\/td>\n<\/tr>\n<tr>\n<td>\u222b 1\/\u221a(1\u2212x\u00b2) dx<\/td>\n<td>arcsinx + C<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0130ntegral \u00c7\u00f6z\u00fcm Teknikleri<\/h2>\n<h3>1. Yerine Koyma (De\u011fi\u015fken De\u011fi\u015ftirme)<\/h3>\n<p>Karma\u015f\u0131k integrallerde i\u00e7 fonksiyon u olarak se\u00e7ilir ve du hesaplan\u0131r. \u00d6rne\u011fin:<\/p>\n<p>\u222b 2x\u00b7cos(x\u00b2) dx \u2192 u = x\u00b2, du = 2x dx \u2192 \u222b cosu du = sinu + C = sin(x\u00b2) + C<\/p>\n<h3>2. K\u0131smi \u0130ntegral<\/h3>\n<p>\u00c7arp\u0131m \u015feklindeki integraller i\u00e7in kullan\u0131l\u0131r:<\/p>\n<p style=\"text-align:center;\"><strong>\u222b u dv = u\u00b7v \u2212 \u222b v du<\/strong><\/p>\n<p><strong>LIATE kural\u0131<\/strong> ile u se\u00e7imi yap\u0131l\u0131r: Logaritmik \u2192 Ters Trigonometrik \u2192 Cebirsel \u2192 Trigonometrik \u2192 \u00dcssel s\u0131ras\u0131na g\u00f6re ilk gelen u olarak se\u00e7ilir.<\/p>\n<h3>3. Basit Kesirlere Ay\u0131rma<\/h3>\n<p>Rasyonel fonksiyonlar\u0131n integralinde payda \u00e7arpanlar\u0131na ayr\u0131larak her terim ayr\u0131 ayr\u0131 integrate edilir.<\/p>\n<h2>Alan Hesaplama<\/h2>\n<p>Belirli integral, bir e\u011fri ile x ekseni aras\u0131ndaki alan\u0131 hesaplamak i\u00e7in kullan\u0131l\u0131r:<\/p>\n<ul>\n<li><strong>E\u011fri ile x ekseni aras\u0131:<\/strong> A = \u222b\u2090\u1d47 |f(x)| dx<\/li>\n<li><strong>\u0130ki e\u011fri aras\u0131:<\/strong> A = \u222b\u2090\u1d47 |f(x) \u2212 g(x)| dx<\/li>\n<\/ul>\n<p><strong>Dikkat:<\/strong> Fonksiyon x ekseninin alt\u0131nda kald\u0131\u011f\u0131nda integral negatif \u00e7\u0131kar. Bu y\u00fczden alan hesab\u0131nda <strong>mutlak de\u011fer<\/strong> almak gerekir. AYT\u2019de bu detay s\u0131k\u00e7a soru olarak kar\u015f\u0131n\u0131za \u00e7\u0131kabilir.<\/p>\n<h2>Grafik Yorumlama Stratejileri<\/h2>\n<p>AYT\u2019de t\u00fcrev ve integral grafik sorular\u0131 s\u0131kl\u0131kla \u00e7\u0131kar. \u0130\u015fte temel yorumlama ipu\u00e7lar\u0131:<\/p>\n<ul>\n<li><strong>f\u2019(x) grafi\u011fi verildi\u011finde:<\/strong> f\u2019(x) = 0 olan yerlerde f(x) ekstremum noktas\u0131 al\u0131r. f\u2019(x) pozitifken f(x) artar, negatifken azal\u0131r.<\/li>\n<li><strong>f(x) grafi\u011fi verilip integral soruldu\u011funda:<\/strong> Grafik alt\u0131ndaki alan hesaplan\u0131r. Eksenin \u00fcst\u00fc pozitif, alt\u0131 negatif katk\u0131 yapar.<\/li>\n<li><strong>f\u2019\u2019(x) grafi\u011fi:<\/strong> f\u2019\u2019(x) = 0 olan yerlerde b\u00fck\u00fcm noktas\u0131 vard\u0131r. f\u2019\u2019(x) &gt; 0 ise e\u011fri konkav yukar\u0131, f\u2019\u2019(x) &lt; 0 ise konkav a\u015fa\u011f\u0131d\u0131r.<\/li>\n<\/ul>\n<h2>AYT\u2019de En \u00c7ok \u00c7\u0131kan Soru Tipleri<\/h2>\n<p>Son y\u0131llar\u0131n AYT s\u0131navlar\u0131 incelendi\u011finde t\u00fcrev ve integralden \u015fu soru tipleri \u00f6ne \u00e7\u0131kar:<\/p>\n<ol>\n<li><strong>T\u00fcrev kurallar\u0131 ile hesaplama:<\/strong> Zincir kural\u0131, \u00e7arp\u0131m-b\u00f6l\u00fcm kural\u0131 uygulamalar\u0131 (hemen her s\u0131navda 1-2 soru)<\/li>\n<li><strong>Fonksiyonun artan-azalan aral\u0131klar\u0131:<\/strong> f\u2019(x) i\u015faret tablosu \u00e7\u0131karma<\/li>\n<li><strong>Maksimum-minimum problemleri:<\/strong> \u00d6zellikle uygulamal\u0131 optimizasyon (kutu, \u00e7it, alan problemi)<\/li>\n<li><strong>Belirli integral hesaplama:<\/strong> Temel form\u00fcller ve yerine koyma y\u00f6ntemiyle<\/li>\n<li><strong>Alan hesaplama:<\/strong> E\u011fri ile eksen aras\u0131, iki e\u011fri aras\u0131 alan<\/li>\n<li><strong>Grafik yorumlama:<\/strong> f, f\u2019, f\u2019\u2019 grafikleri aras\u0131ndaki ili\u015fki<\/li>\n<li><strong>T\u00fcrev-integral ili\u015fkisi:<\/strong> Analizin temel teoremi uygulamalar\u0131<\/li>\n<\/ol>\n<h2>Etkili \u00c7al\u0131\u015fma Plan\u0131<\/h2>\n<p>T\u00fcrev ve integral konular\u0131nda ba\u015far\u0131l\u0131 olmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 takip edin:<\/p>\n<h3>Hafta 1-2: T\u00fcrev Temelleri<\/h3>\n<ul>\n<li>Limit ve s\u00fcreklilik kavramlar\u0131n\u0131 g\u00f6zden ge\u00e7irin<\/li>\n<li>T\u00fcm t\u00fcrev kurallar\u0131n\u0131 ezberleyin ve her biri i\u00e7in en az 10 soru \u00e7\u00f6z\u00fcn<\/li>\n<li>Zincir kural\u0131 ve bile\u015fke fonksiyon t\u00fcrevi \u00fczerinde yo\u011funla\u015f\u0131n<\/li>\n<\/ul>\n<h3>Hafta 3-4: T\u00fcrev Uygulamalar\u0131<\/h3>\n<ul>\n<li>Artan-azalan, ekstremum, b\u00fck\u00fcm noktas\u0131 sorular\u0131n\u0131 \u00e7\u00f6z\u00fcn<\/li>\n<li>Te\u011fet-normal do\u011frusu problemleri \u00fczerinde \u00e7al\u0131\u015f\u0131n<\/li>\n<li>Optimizasyon (uygulamal\u0131 max-min) sorular\u0131na ge\u00e7in<\/li>\n<\/ul>\n<h3>Hafta 5-6: \u0130ntegral Temelleri<\/h3>\n<ul>\n<li>Belirsiz integral form\u00fcllerini \u00f6\u011frenin, bol soru \u00e7\u00f6z\u00fcn<\/li>\n<li>Yerine koyma ve k\u0131smi integral tekniklerini pratik yap\u0131n<\/li>\n<li>Belirli integral ve analizin temel teoremini kavray\u0131n<\/li>\n<\/ul>\n<h3>Hafta 7-8: \u0130ntegral Uygulamalar\u0131 ve Tekrar<\/h3>\n<ul>\n<li>Alan hesaplama problemleri \u00e7\u00f6z\u00fcn<\/li>\n<li>Grafik yorumlama sorular\u0131na odaklan\u0131n<\/li>\n<li>Son 5 y\u0131l\u0131n AYT sorular\u0131n\u0131 \u00e7\u00f6z\u00fcp zay\u0131f y\u00f6nlerinizi tespit edin<\/li>\n<\/ul>\n<h2>S\u0131k Yap\u0131lan Hatalar ve Uyar\u0131lar<\/h2>\n<ul>\n<li><strong>\u0130ntegral sabitini (C) unutmak:<\/strong> Belirsiz integralde mutlaka C ekleyin.<\/li>\n<li><strong>Zincir kural\u0131n\u0131 atlama:<\/strong> Bile\u015fke fonksiyonlarda i\u00e7 t\u00fcrevi \u00e7arpmay\u0131 unutmay\u0131n.<\/li>\n<li><strong>\u0130\u015faret hatas\u0131:<\/strong> \u222b sinx dx = <strong>\u2212cosx<\/strong> + C (eksi i\u015faretine dikkat).<\/li>\n<li><strong>Alan hesab\u0131nda mutlak de\u011fer:<\/strong> Fonksiyon x ekseninin alt\u0131ndayken integralin negatif \u00e7\u0131kaca\u011f\u0131n\u0131 unutmay\u0131n.<\/li>\n<li><strong>B\u00f6l\u00fcm kural\u0131nda s\u0131ralama:<\/strong> Pay\u0131n t\u00fcrevi \u00d7 payda \u2212 pay \u00d7 paydan\u0131n t\u00fcrevi (s\u0131ra \u00f6nemli!).<\/li>\n<\/ul>\n<h2>S\u0131k\u00e7a Sorulan Sorular (SSS)<\/h2>\n<h3>T\u00fcrev ve integral AYT\u2019de ka\u00e7 soru \u00e7\u0131kar?<\/h3>\n<p>AYT Matematik b\u00f6l\u00fcm\u00fcnde t\u00fcrev ve integralden toplam <strong>4-6 soru<\/strong> gelmektedir. Bu, 40 sorunun yakla\u015f\u0131k %10-15\u2019ine kar\u015f\u0131l\u0131k gelir ve puan etkisi olduk\u00e7a y\u00fcksektir.<\/p>\n<h3>T\u00fcrev mi integral mi daha zor?<\/h3>\n<p>Genellikle integral, t\u00fcreve g\u00f6re daha zor kabul edilir \u00e7\u00fcnk\u00fc integral alma i\u015flemi daha fazla teknik ve deneyim gerektirir. Ancak iyi bir t\u00fcrev temeli, integral \u00f6\u011frenmeyi \u00e7ok kolayla\u015ft\u0131r\u0131r.<\/p>\n<h3>Hesap makinesi kullanmadan nas\u0131l h\u0131zl\u0131 \u00e7\u00f6zebilirim?<\/h3>\n<p>Form\u00fclleri ezberlemek yerine <strong>anlayarak \u00f6\u011frenin<\/strong>. T\u00fcrev kurallar\u0131n\u0131n neden i\u015fe yarad\u0131\u011f\u0131n\u0131 kavrad\u0131\u011f\u0131n\u0131zda, form\u00fclleri hat\u0131rlamak kolayla\u015f\u0131r. Ayr\u0131ca, s\u0131k kullan\u0131lan integralleri (\u00fcstel, trigonometrik) refleks haline getirin.<\/p>\n<h3>Grafik sorular\u0131nda nereden ba\u015flamal\u0131y\u0131m?<\/h3>\n<p>\u00d6nce grafi\u011fin <strong>s\u0131f\u0131r noktalar\u0131n\u0131<\/strong> (x eksenini kesti\u011fi yerler) ve <strong>i\u015faret de\u011fi\u015fimlerini<\/strong> belirleyin. Ard\u0131ndan artan-azalan analizi yap\u0131n. Son olarak, sorunun ne istedi\u011fine g\u00f6re t\u00fcrev veya integral yorumlay\u0131n.<\/p>\n<h3>Son 1 ayda t\u00fcrev ve integral \u00e7al\u0131\u015fmaya ba\u015flad\u0131m, yeti\u015fir mi?<\/h3>\n<p>Temel bilginiz varsa, yo\u011fun \u00e7al\u0131\u015fmayla k\u0131sa s\u00fcrede ilerleme kaydedebilirsiniz. G\u00fcnde en az 2 saat ay\u0131rarak yukar\u0131daki \u00e7al\u0131\u015fma plan\u0131n\u0131 s\u0131k\u0131\u015ft\u0131r\u0131lm\u0131\u015f \u015fekilde uygulay\u0131n. \u00d6zellikle soru \u00e7\u00f6zmeye a\u011f\u0131rl\u0131k verin.<\/p>\n<h2>Sonu\u00e7<\/h2>\n<p>T\u00fcrev ve integral, AYT Matematik\u2019te <strong>en \u00e7ok puan getirebilecek konulardan<\/strong> biridir. Form\u00fclleri \u00f6\u011frenmek tek ba\u015f\u0131na yetmez; d\u00fczenli soru \u00e7\u00f6z\u00fcm\u00fc, grafik yorumlama prati\u011fi ve hata analizi ile konuyu tam olarak kavrayabilirsiniz. Yukar\u0131daki \u00f6zet tablolar\u0131 ve \u00e7al\u0131\u015fma plan\u0131n\u0131 takip ederek s\u0131nava haz\u0131r hale gelebilirsiniz.<\/p>\n<p style=\"background:#f0fdf4;padding:20px;border-radius:8px;border-left:4px solid #22c55e;margin-top:30px;\"><strong>AYT\u2019ye haz\u0131rlan\u0131rken birebir destek almak ister misiniz?<\/strong> <a href=\"https:\/\/derste.com\">derste.com<\/a> \u00fczerinden alan\u0131nda uzman matematik \u00f6\u011fretmenleriyle <strong>online \u00f6zel ders<\/strong> alabilir, konular\u0131 birebir \u00e7al\u0131\u015farak s\u0131nava \u00e7ok daha g\u00fc\u00e7l\u00fc girebilirsiniz. Hemen <a href=\"https:\/\/derste.com\/ogretmen-bul\">\u00f6\u011fretmen bulun<\/a>!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>AYT Matematik s\u0131nav\u0131nda integral ve t\u00fcrev konular\u0131, toplam sorular\u0131n \u00f6nemli bir b\u00f6l\u00fcm\u00fcn\u00fc olu\u015fturur. Bu iki konu birbirine s\u0131k\u0131 s\u0131k\u0131ya ba\u011fl\u0131d\u0131r: t\u00fcrev, bir fonksiyonun de\u011fi\u015fim h\u0131z\u0131n\u0131 incelerken; integral, t\u00fcrevin tersine bir toplama (biriktirme) i\u015flemidir. Bu rehberde, AYT\u2019ye haz\u0131rlanan \u00f6\u011frenciler i\u00e7in t\u00fcrev ve integral konular\u0131n\u0131 form\u00fcller, \u00e7\u00f6z\u00fcm teknikleri ve s\u0131nav stratejileriyle birlikte kapsaml\u0131 \u015fekilde \u00f6zetliyoruz. T\u00fcrev Nedir?&hellip;<\/p>\n","protected":false},"author":58,"featured_media":27882,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rank_math_focus_keyword":"AYT integral t\u00fcrev \u00f6zet","rank_math_description":"AYT Matematik integral ve t\u00fcrev \u00f6zet. Temel form\u00fcller, \u00e7\u00f6z\u00fcm teknikleri, grafik yorumlama ve s\u0131nav stratejileri.","_ez-toc-disabled":"","_ez-toc-insert":"","_ez-toc-heading-levels":"","_ez-toc-header-label":"","footnotes":""},"categories":[91],"tags":[],"class_list":["post-27455","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sinav","category-91","description-off"],"_links":{"self":[{"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/posts\/27455","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/users\/58"}],"replies":[{"embeddable":true,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/comments?post=27455"}],"version-history":[{"count":1,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/posts\/27455\/revisions"}],"predecessor-version":[{"id":27468,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/posts\/27455\/revisions\/27468"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/media\/27882"}],"wp:attachment":[{"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/media?parent=27455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/categories?post=27455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/derste.com\/yazilar\/wp-json\/wp\/v2\/tags?post=27455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}