JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Hard

1 of 1

Application +4 | -1

The slope of the tangent to the curve

y=\int\limits_{x}^{x^2} \cos ^{-1} t^2 d t

x=2^{-1 / 4}

, is

View answer and explanation

Correct option: B

\left(\frac{\sqrt[4]{8}}{3}-\frac{1}{4}\right) \pi

Option B (

\left(\frac{\sqrt[4]{8}}{3}-\frac{1}{4}\right) \pi

) is correct because the slope of the tangent is found by differentiating the given integral using Leibniz's rule and evaluating it at

x=2^{-1/4}

More Questions from TANGENTS & NORMALS

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a

y=x^3-a x

x^2 y=1-y

x y=1-y

C

y^3-3 x y+2=0

H

\mathrm{C}

x

V

C

y

y-e^{x y}+x=0

y = f\left( x \right)

x

x = a\left( {\theta - \sin \theta } \right),\;y = a\left( {1 + \cos \theta } \right)

\theta = \left( {2k + 1} \right)\pi ,\;k \in Z