JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Analyzing +4 | -1

If the slope of the tangent to the curve

y = {e^x}\cos x

is minimum at

x = a,\;0 \le a \le 2\;\pi

, then the value of

a

View answer and explanation

Correct option: B

\pi

Option B (

\pi

) is correct because the second derivative of the slope is positive at

x = \pi

, indicating a minimum slope.

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