1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The derivative of $$\mathrm{f}(\sec x)$$ with respect to $$g(\tan x)$$ at $$x=\frac{\pi}{4}$$, where $$f^{\prime}(\sqrt{2})=4$$ and $$g^{\prime}(1)=2$$, is

A
2
B
$$\frac{1}{\sqrt{2}}$$
C
$$\sqrt{2}$$
D
$$\frac{1}{2 \sqrt{2}}$$
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If y = 2 sin x + 3 cos x and y + A$$\mathrm{\frac{d^2y}{dx^2}}$$ = B, then the values of A, B are respectively

A
0, 1
B
0, $$-$$1
C
$$-$$1, 0
D
1, 0
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y = {\tan ^{ - 1}}\left\{ {{{a\cos x - b\sin x} \over {b\cos x + a\sin x}}} \right\}$$, then $${{dy} \over {dx}}$$

A
$${1 \over {1 + {x^2}}}$$
B
$${1 \over {\sqrt {1 - {x^2}} }}$$
C
$$ - 1$$
D
None of these
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$e^{-y} \cdot y=x$$, then $$\frac{d y}{d x}$$ is

A
$$\frac{y}{1-y}$$
B
$$\frac{1}{x y(1-y)}$$
C
$$\frac{1}{x(1-y)}$$
D
$$\frac{y}{x(1-y)}$$
MHT CET Subjects
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CET
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN