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Differentiation question

2010 · Shift 0 · Q40

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PYQ Library
JEE Main
Mathematics
Differentiation
2010 · Shift 0 · Q40

Differentiation question

2010 · Shift 0 · Q40

JEE MainMathematicsDifferentiationMCQ+4 / −1

Let

f:\left( { - 1,1} \right) \to R

be a differentiable function with

f\left( 0 \right) = - 1

and

f'\left( 0 \right) = 1

. Let

g\left( x \right) = {\left[ {f\left( {2f\left( x \right) + 2} \right)} \right]^2}

. Then

g'\left( 0 \right) =

A
$-4$
B
$0$
C
$-2$
D
$4$

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