Differentiate the given function. $$f ( x ) = \ln x ^ { 6 }$$
A) $\frac { 6 } { x }$
B) 6x
C) $\frac { x } { 6 }$
D) $\frac { 1 } { 6 x }$

Name: Differentiate the given function. \[f ( x ) = \ln x ^ { 6 }\] A) $\frac { 6 } { x }$ B) 6x C) $\frac { x } { 6 }$ D) $\frac { 1 } { 6 x }$
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Question

Quizplus · Accepted Answer

The differentiation of $f(x) = \ln x^6$ can be simplified using the chain rule and properties of logarithms as $f'(x) = \frac{1}{x^6} \cdot 6x^5 = \frac{6}{x}$.

Differentiate the Given Function f(x)=ln⁡x6f ( x ) = \ln x ^ { 6 }f(x)=lnx6

Differentiate the Given Function $f ( x ) = \ln x ^ { 6 }$