New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differentiation question

2022 · 27 Jun · Shift 1 · Q25

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

PYQ Library
JEE Main
Mathematics
Differentiation
2022 · 27 Jun · Shift 1 · Q25

Differentiation question

2022 · 27 Jun · Shift 1 · Q25

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

{\cos ^{ - 1}}\left( {{y \over 2}} \right) = {\log _e}{\left( {{x \over 5}} \right)^5},\,|y| \lt 2

, then :

A
${x^2}y'' + xy' - 25y = 0$
B
${x^2}y'' - xy' - 25y = 0$
C
${x^2}y'' - xy' + 25y = 0$
D
${x^2}y'' + xy' + 25y = 0$

More from Differentiation

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
If $f (x) = sin (cos^{- 1} (\frac{1 - 2 ^{2 x}}{1 + 2 ^{2 x}}))$ and its first derivative with respect to x is $- \frac{b}{a} lo g_{e} 2$ when x = 1, where a and b are integers, then the minimum…2021 · Numerical
Let $f (x) = cos (2 tan^{- 1} sin (cot^{- 1} \frac{1 - x}{x}))$ , 0 < x < 1. Then :2021 · MCQ
If y = y(x) is an implicit function of x such that loge(x + y) = 4xy, then $\frac{d ^{2} y}{d x ^{2}}$ at x = 0 is equal to .2021 · Numerical
If $y (x) = cot^{- 1} (\frac{1 + s i n x + 1 - s i n x}{1 + s i n x - 1 - s i n x}), x \in (\frac{π}{2}, π)$ , then $\frac{d y}{d x}$ at $x = \frac{5 π}{6}$ is :2021 · MCQ
If y = $k = 1 \sum 6 k cos^{- 1} {\frac{3}{5} cos k x - \frac{4}{5} sin k x}$ , then $\frac{d y}{d x}$ at x = 0 is .2020 · Numerical