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Differentiation question

2014 · Shift 0 · Q34

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PYQ Library
JEE Main
Mathematics
Differentiation
2014 · Shift 0 · Q34

Differentiation question

2014 · Shift 0 · Q34

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

g

is the inverse of a function

f

and

f'\left( x \right) = {1 \over {1 + {x^5}}},

then

g'\left( x \right)

is equal to:

A
${1 \over {1 + {{\left\{ {g\left( x \right)} \right\}}^5}}}$
B
$1 + {\left\{ {g\left( x \right)} \right\}^5}$
C
$1 + {x^5}$
D
$5{x^4}$

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