AP Calculus ABeasymcq1 pt

If f(x)=x100f(x)=x^{100}, then f(x)=f'(x)=

A.100x99100x^{99}
B.99x10099x^{100}
C.100x100100x^{100}
D.x99x^{99}

Explanation

Core Concept

Multiply by the exponent 100100 and reduce it by one: f(x)=100x99f'(x)=100x^{99}. The power rule holds for any constant exponent.

Correct Answer

A100x99100x^{99}

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