Differentiate the given function. $f ( x ) = \ln x ^ { 3 }$
A) $\frac { x } { 3 }$
B) $\frac { 1 } { 3 x }$
C)3x
D) $\frac { 3 } { x }$

Name: Differentiate the given function. $f ( x ) = \ln x ^ { 3 }$ A) $\frac { x } { 3 }$ B) $\frac { 1 } { 3 x }$ C)3x D) $\frac { 3 } { x }$
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Question

Quizplus · Accepted Answer

The differentiation of $f(x) = \ln x^3$ can be simplified by using the chain rule and properties of logarithms. First, rewrite the function as $f(x) = 3\ln x$. Differentiating $3\ln x$ with respect to $x$ gives $\frac{3}{x}$.

Differentiate the Given Function f(x)=ln⁡x3f ( x ) = \ln x ^ { 3 }f(x)=lnx3

Differentiate the Given Function $f ( x ) = \ln x ^ { 3 }$