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Derivative calculates instantaneous rate of change: df/dx = lim(h→0) [f(x+h)-f(x)]/h; foundation of calculus.

단계별 가이드

  1. 1Input function
  2. 2Apply derivative rules: power rule, chain rule, product rule, quotient rule
  3. 3Results show derivative function

풀어진 예시

입력
f(x) = x³ + 2x
결과
f'(x) = 3x² + 2

피해야 할 일반적인 실수

  • Misapplying chain rule
  • Not remembering constant multiples rule

자주 묻는 질문

What does derivative represent?

Slope of tangent line; instantaneous rate of change; velocity if position function.

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