JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f(x) = \sin x,\mathrm{g}\left( x \right) = {x^2}

and

\,h\left( x \right) = {\log _e}x

. If

F\left( x \right) = \left( {hog\,\,of} \right)\left( x \right)

, then

F''\left( x \right)

is equal to

View answer and explanation

Correct option: D

- 2\mathrm{cose}{\mathrm{c}^2}x

Option D (

- 2\mathrm{cose}{\mathrm{c}^2}x

) is correct because after finding F(x) and differentiating twice, the result is

- 2\mathrm{cose}{\mathrm{c}^2}x

More Questions from DIFFERENTIATION

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f(x)=|x|^{|\tan x|}

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x

y

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x y=1

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f(x)=[x] \sin (\pi x)

[x]

x

x=k, k

f(x)

y = {\sec ^{ - 1}}\left[ {\mathrm{cosec}x} \right] + \mathrm{cose}{\mathrm{c}^{ - 1}}\left[ {\sec x} \right] + {\sin ^{ - 1}}[\cos x] + {\cos ^{ - 1}}[\sin x],

\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

z = y + f\left( v \right),

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v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}