Let where and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

f(x)=ax^{3}+bx

where

a\neq 0

and

b\neq 0

. The function is strictly increasing and thus invertible. Derive a simplified expression for

(f^{-1})'(x)

in terms of

a

,

b

, and

f^{-1}(x)

.

Related theory

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