Let for all real .

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let

f(x)=x^{4}+5x

for all real

x

. (a) Derive an expression for

f'(x)

valid for every real

x

. (b) State the domain of

f'(x)

and justify your answer briefly. (c) Evaluate

f'(-1)

Related theory

Differentiation Rules
Rules of differentiation
Intuitive idea of derivatives
Limits and Derivatives

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