1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y^{\frac{1}{m}}+y^{\frac{-1}{m}}=2 x, x \neq 1$$, then $$\left(x^2-1\right)\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)^2$$ is equal to

A
$$m y^2$$
B
$$m^2 y$$
C
$$m^2 y^2$$
D
$$\frac{m y^2}{2}$$
2
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
$$\frac{-1}{2}$$
3
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
4
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
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