Evaluate the limit _ h 0 (x+h)^4-x^4 h and simplify your answer so that it is…

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

Problem

Evaluate the limit

\lim_{h\to 0}\frac{(x+h)^4-x^4}{h}

and simplify your answer so that it is expressed only in terms of

x

Related theory

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

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