AP Calculus ABeasymcq1 pt

If f(x)=ln(7x)f(x)=\ln(7x), then f(x)=f'(x)=

A.1x\dfrac{1}{x}
B.17x\dfrac{1}{7x}
C.7x\dfrac{7}{x}
D.7ln(7x)7\ln(7x)

Explanation

Core Concept

The chain rule gives 77x\frac{7}{7x}, which simplifies to 1x\frac{1}{x}. Equivalently, ln(7x)=ln7+lnx\ln(7x)=\ln 7+\ln x.

Correct Answer

A1x\dfrac{1}{x}

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