Give an appropriate answer.
-$$f ( x ) = \sqrt { x } \text { for } x _ { 0 } = 13$$
A) $\frac { \sqrt { 13 } } { 26 }$
B) $\frac { 13 } { 2 }$
C) $\frac { \sqrt { 13 } } { 13 }$
D) Does not exist

Question

Quizplus · Accepted Answer

The derivative of $f(x) = \sqrt{x}$ is $f'(x) = \frac{1}{2\sqrt{x}}$. Substituting $x_0 = 13$, we get $f'(13) = \frac{1}{2\sqrt{13}} = \frac{\sqrt{13}}{26}$, which matches option A.

Give an Appropriate Answer f(x)=x for x0=13f ( x ) = \sqrt { x } \text { for } x _ { 0 } = 13f(x)=x​ for x0​=13

Give an Appropriate Answer $f ( x ) = \sqrt { x } \text { for } x _ { 0 } = 13$