Estimate $f ^ { \prime } ( 5 )$ of the function $f ( x ) = 5 \ln ( x )$ .
A) $\ln 5$
B) $\frac { 1 } { \ln 5 }$
C) 0
D) 5
E) 1

Name: Estimate $f ^ { \prime } ( 5 )$ of the function $f ( x ) = 5 \ln ( x )$ . A) $\ln 5$ B) $\frac { 1 } { \ln 5 }$ C) 0 D) 5 E) 1
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Question

Estimate $f ^ { \prime } ( 5 )$ of the function $f ( x ) = 5 \ln ( x )$ .  
A) $\ln 5$
B) $\frac { 1 } { \ln 5 }$
C) 0
D) 5
E) 1

Quizplus · Accepted Answer

The derivative of $f(x) = 5\ln(x)$ with respect to $x$ is $f'(x) = \frac{5}{x}$ using the chain rule. Thus, $f'(5) = \frac{5}{5} = 1$.

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