New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differentiation question

2022 · 24 Jun · Shift 2 · Q35

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Differentiation
2022 · 24 Jun · Shift 2 · Q35

Differentiation question

2022 · 24 Jun · Shift 2 · Q35

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

y = {\tan ^{ - 1}}\left( {\sec {x^3} - \tan {x^3}} \right),{\pi \over 2} \lt {x^3} \lt {{3\pi } \over 2}

, then

A
$xy'' + 2y' = 0$
B
${x^2}y'' - 6y + {{3\pi } \over 2} = 0$
C
${x^2}y'' - 6y + 3\pi = 0$
D
$xy'' - 4y' = 0$

More from Differentiation

Let f : R $\to$ R be defined as $f (x) = x^{3} + x - 5$ . If g(x) is a function such that $f (g (x)) = x, \forall^{'} x^{'} \in R$ , then g'(63) is equal to .2022 · MCQ
The value of $lo g_{e} 2 \frac{d}{d x} (lo g_{c o s x} cosec x)$ at $x = \frac{π}{4}$ is2022 · MCQ
Let f : R $\to$ R satisfy $f (x + y) = 2^{x} f (y) + 4^{y} f (x)$ , $\forall$ x, y $\in$ R. If f(2) = 3, then $14. \frac{f ^{'} ( 4 )}{f ^{'} ( 2 )}$ is equal to .2022 · Numerical
For the curve $C : (x^{2} + y^{2} - 3) + (x^{2} - y^{2} - 1)^{5} = 0$ , the value of $3 y^{'} - y^{3} y^{''}$ , at the point $α > 0$ , $α > 0$ , on C, is equal to .2022 · Numerical
If $cos^{- 1} (\frac{y}{2}) = lo g_{e} (\frac{x}{5})^{5}, ∣ y ∣ < 2$ , then :2022 · MCQ
If $y (x) = (x^{x})^{x}, x > 0$ , then $\frac{d ^{2} x}{d y ^{2}} + 20$ at x = 1 is equal to .2022 · Numerical
Let $x (t) = 22 cos t sin 2 t$ and $y (t) = 22 sin t sin 2 t, t \in (0, \frac{π}{2})$ . Then $\frac{1 + ( \frac{d y}{d x} ) ^{2}}{\frac{d ^{2} y}{d x ^{2}}}$ at $t = \frac{π}{4}$ is equal to :2022 · MCQ
Let f and g be twice differentiable even functions on ( $-$ 2, 2) such that $f (\frac{1}{4}) = 0$ , $f (\frac{1}{2}) = 0$ , $f (1) = 1$ and $g (\frac{3}{4}) = 0$ , $g (1) = 2$ . Then, the minimum…2022 · Numerical