Question
Asked Oct 21, 2019

Find the derivative of the inverse of the given function at the specified point on the graph of the inverse function.

f(x)=8x3-15x2-2, x is greater than or equal to 1.5; (270,4)

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Expert Answer

Step 1

To sketch the graph of the function f(x) and determine the value of the derivative of inverse of the function at the given point.

Step 2

Given:

f(x)=8x -15x2 -2, x21.5
Point: (270,4)
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f(x)=8x -15x2 -2, x21.5 Point: (270,4)

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Step 3

Theorem:

If f has a inverse and the function f is differentiable at the point f -1(x) and the value f’(f -1(x)) is not zero the function f -1(x...

1
(x)=
dx
S(S(x)
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1 (x)= dx S(S(x)

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Math

Calculus

Derivative

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