$$\text { Find the formula for } d f ^ { - 1 } / d x \text {. }$$
-$$f ( x ) = ( 10 - x ) ^ { 3 }$$
A) $- 3 ( 10 - x ) ^ { 2 }$
B) $- \frac { 1 } { 3 x ^ { 2 / 3 } }$
C) $10 - x ^ { 1 / 3 }$
D) $x ^ { 2 / 3 }$

Question

Quizplus · Accepted Answer

The derivative of the inverse function $df^{-1}/dx$ can be found using the formula $df^{-1}/dx = 1/(df/dx)$. First, find $df/dx = -3(10-x)^2$. Then, the inverse derivative is $-1/(3x^{2/3})$.

Find the formula for df−1/dx. \text { Find the formula for } d f ^ { - 1 } / d x \text {. } Find the formula for df−1/dx.

$\text { Find the formula for } d f ^ { - 1 } / d x \text {. }$