Let $f ( x ) = \log _ { 2 } x$ . Find the value of $f ^ { \prime } ( 1 )$ .
A)2
B) $e ^ { 2 }$
C)ln $\left( \frac { 1 } { 2 } \right)$
D) $e ^ { - \frac { 1 } { 2 } }$
E) $2 ^ { e }$
F) $\frac { 1 } { 2 }$
G) $\frac { 1 } { \ln 2 }$
H) $e ^ { \frac { 1 } { 2 } }$

Question

Let $f ( x ) = \log _ { 2 } x$ . Find the value of $f ^ { \prime } ( 1 )$ .
A)2
B) $e ^ { 2 }$ 
C)ln $\left( \frac { 1 } { 2 } \right)$
D) $e ^ { - \frac { 1 } { 2 } }$
E) $2 ^ { e }$
F) $\frac { 1 } { 2 }$
G) $\frac { 1 } { \ln 2 }$
H) $e ^ { \frac { 1 } { 2 } }$

Quizplus · Accepted Answer

The derivative of $f(x) = \log_2 x$ with respect to $x$ is $f'(x) = \frac{1}{x \ln 2}$. Substituting $x = 1$ gives $f'(1) = \frac{1}{\ln 2}$.

Let f(x)=log⁡2xf ( x ) = \log _ { 2 } xf(x)=log2​x

Let $f ( x ) = \log _ { 2 } x$