# Türevin Tanımı

Canonical: https://manyspace.aporia.systems/tr/topics/definition-of-the-derivative-mth-calc1-127
Updated: 2026-10-13

Matematik · Calculus I · MTH-CALC1-127

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

tangent line, instantaneous rate, differentiability vs continuity

## 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)

## Neyi açar

- [Zincir Kuralı](https://manyspace.aporia.systems/tr/topics/zincir-kurali-mth-calc1-129)
- [Analizin Temel Teoremi](https://manyspace.aporia.systems/tr/topics/analizin-temel-teoremi-mth-calc1-139)

## Kaynaklar

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