1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\sin ^{-1}\left(\frac{1}{\sqrt{x+1}}\right)$ then $\frac{d y}{d x}=$
A
$\frac{1}{2 \sqrt{1-x}}$
B
$\frac{1}{2 \sqrt{x}(1+\sqrt{x})}$
C
$\frac{1}{2 x(1+\sqrt{x})}$
D
$-\frac{1}{2 \sqrt{x}(1+x)}$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=f(x), \quad p=\frac{d y}{d x} ; q=\frac{d^2 y}{d x^2} \text { then } \frac{d^2 x}{d y^2} \text { is equal to } $$

A
$$-\frac{q}{p^2}$$
B
$$\frac{q}{p}$$
C
$$-\frac{q}{p^3}$$
D
$$\frac{q}{p^2}$$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=\sqrt{\sin x+y} \text { then find } \frac{d y}{d x} \text { at } x=0, \quad y=1 $$

A
0
B
1
C
2
D
$$-$$1
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=\sin ^{-1}\left(\frac{5 x+12 \sqrt{1-x^2}}{13}\right) \text { then } \frac{d y}{d x} \text { equals } $$

A
$$\frac{-2 x}{\sqrt{1-x^2}}$$
B
$$\frac{-1}{\sqrt{1+x^2}}$$
C
$$\frac{1}{\sqrt{1-x^2}}$$
D
$$\frac{2 x}{\sqrt{1-x^2}}$$
COMEDK Subjects
EXAM MAP