$$\text { Find the value of } \mathrm { df } ^ { - 1 } / \mathrm { dx } \text { at } x = f ( a ) \text {. }$$
-$$f ( x ) = \frac { 1 } { 4 } x + 8 , a = 3$$
A) 8
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 8 }$
D) 4

Question

Quizplus · Accepted Answer

The derivative of $ f(x) = \frac{1}{4}x + 8 $ is $ f'(x) = \frac{1}{4} $. The inverse function's derivative at $ x = f(a) $ is the reciprocal of $ f'(a) $, which is 4.

Find the value of df−1/dx at x=f(a). \text { Find the value of } \mathrm { df } ^ { - 1 } / \mathrm { dx } \text { at } x = f ( a ) \text {. } Find the value of df−1/dx at x=f(a).

$\text { Find the value of } \mathrm { df } ^ { - 1 } / \mathrm { dx } \text { at } x = f ( a ) \text {. }$