Get the solution to "Find the derivative to the inverse function in..." - Plainmath

Reese Estes

Answered question

2022-05-09

Find the derivative to the inverse function in

(π / 4) - 1

.

Answer & Explanation

Layne Bailey

Beginner2022-05-10Added 16 answers

Recall that if

g (x)

is the inverse of

f (x)

, at

x = x_{0}

we have:

g^{'} (x_{0}) = \frac{1}{f^{'} (g (x_{0}))}

with

g (x_{0}) = π / 4

indeed

f (x)

and

g (x)

are symmetric with respect to the line

y = x

and thus

f (π / 4) = π / 4 - 1 ⟹ g (f (π / 4)) = π / 4 = g (π / 4 - 1)

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