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Differentiation question

2022 · 25 Jun · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Differentiation
2022 · 25 Jun · Shift 1 · Q27

Differentiation question

2022 · 25 Jun · Shift 1 · Q27

JEE MainMathematicsDifferentiationMCQ+4 / −1

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

\underline{\hspace{2cm}}

.

A
${1 \over {49}}$
B
${3 \over {49}}$
C
${43 \over {49}}$
D
${91 \over {49}}$

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