# Aşkın Fonksiyonların Türevleri

Canonical: https://manyspace.aporia.systems/tr/topics/derivatives-of-transcendental-functions-mth-calc1-131
Updated: 2026-10-13

Matematik · Calculus I · MTH-CALC1-131

- Zorluk: 3 / 5
- Önem: 5 / 5
- Çalışma süresi: 3–6 sa

exponential, logarithmic, trigonometric, inverse trig

## Neden önemli

The core of modern mathematics and science: rates of change and accumulation. Non-negotiable for physics, engineering, ML and economics.

## Nerede kullanılır

Instantaneous rates (velocity, growth), optimization in business/engineering, marginal analysis, physics kinematics.

## Öğrendiğini nasıl anlarsın

Complete 3 independent examples correctly + explain common failure modes.

## Önce neye ihtiyacın var

- [Polinom Fonksiyonlar](https://manyspace.aporia.systems/tr/topics/polinom-fonksiyonlar-mth-precalc-077) (gerekli)
- [Zincir Kuralı](https://manyspace.aporia.systems/tr/topics/zincir-kurali-mth-calc1-129) (gerekli)
- [Birim Çember](https://manyspace.aporia.systems/tr/topics/birim-cember-mth-trig-068) (gerekli)

## Neyi açar

- [L'Hopital Kuralı](https://manyspace.aporia.systems/tr/topics/l-hopital-kurali-mth-calc1-136)
- [Kısmi İntegrasyon](https://manyspace.aporia.systems/tr/topics/kismi-integrasyon-mth-calc2-140)
- [Taylor ve Maclaurin Serileri](https://manyspace.aporia.systems/tr/topics/taylor-ve-maclaurin-serileri-mth-calc2-151)

## Kaynaklar

- Schaum's Outline of Calculus — Frank Ayres
- Calculus: Early Transcendentals — James Stewart
- Thomas' Calculus — Hass, Heil & Weir