Differentiate the given function. $f ( x ) = \ln x ^ { 5 }$
A) $\frac { 5 } { x }$
B) 5x
C) $\frac { x } { 5 }$
D) $\frac { 1 } { 5 x }$

Name: Differentiate the given function. $f ( x ) = \ln x ^ { 5 }$ A) $\frac { 5 } { x }$ B) 5x C) $\frac { x } { 5 }$ D) $\frac { 1 } { 5 x }$
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Question

Quizplus · Accepted Answer

The differentiation of $f(x) = \ln x^5$ can be simplified using the chain rule and properties of logarithms. Specifically, $\ln x^5 = 5 \ln x$. Differentiating $5 \ln x$ with respect to $x$ gives $\frac{5}{x}$.

Differentiate the Given Function f(x)=ln⁡x5f ( x ) = \ln x ^ { 5 }f(x)=lnx5

Differentiate the Given Function $f ( x ) = \ln x ^ { 5 }$