AP Calculus ABeasymcq1 pt

If f(x)=(x2+1)5f(x)=(x^2+1)^5, then f(x)=f'(x)=

A.10x(x2+1)410x(x^2+1)^4
B.5(x2+1)45(x^2+1)^4
C.10(x2+1)410(x^2+1)^4
D.5(x2+1)4(x2+1)5(x^2+1)^4(x^2+1)

Explanation

Core Concept

Bring the power down to get 5(x2+1)45(x^2+1)^4, then multiply by the inner derivative 2x2x. The product is 10x(x2+1)410x(x^2+1)^4.

Correct Answer

A10x(x2+1)410x(x^2+1)^4

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