Let f: R → R be defined as f(x) = x³ + x - 5. If g(x) is a function such that f(g(x)) = x, 'x' R, then g'(63) is equal to _ _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Morning shift · Q3659

JEE Main 202225 Jun, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be defined as

f(x) = {x^3} + x - 5

. If g(x) is a function such that

f(g(x)) = x,\forall 'x' \in R

, then g'(63) is equal to ________________.