If $x=3 \tan t$ and $y=3 \sec t$, then the value of $\frac{d^2 y}{d x^2}$ at $t=\frac{\pi}{4}$, is

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

x=3 \tan t

and

y=3 \sec t

, then the value of

\frac{d^2 y}{d x^2}

t=\frac{\pi}{4}

, is

View answer and explanation

Correct option: D

\frac{1}{6 \sqrt{2}}

Option D (

\frac{1}{6 \sqrt{2}}

) is correct because it is the value of the second derivative of y with respect to x at the specified point.

Practice All Chapter MCQs →

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

f^{\prime}\left(\frac{-\pi}{6}\right)

x

y

x>0

x y=1

x+y

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),

v = \left( {\frac{x}{y}} \right),

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