Prove from first principles that

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

\dfrac{d}{dx}\,[c\,f(x)]=c\,f'(x)

, where

c

is a constant and

f(x)

is differentiable at

x

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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