1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\tan ^{-1} \sqrt{\frac{1+\cos x}{1-\cos x}}$$, then $$\frac{d y}{d x}=$$

A
1
B
$$\frac{3}{2}$$
C
$$\frac{1}{2}$$
D
$$\frac{-1}{2}$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$x^y \cdot y^x=16$$, then $\frac{d y}{d x}$ at $(2,2)$$ is

A
$$-$$1
B
0
C
1
D
2
3
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
4
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
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