1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { If } y=\tan ^{-1}\left(\frac{3-2 x}{1+6 x}\right) \text { then } \frac{d y}{d x} \text { is }$$

A
$$\frac{2}{1+4 x^2}$$
B
$$-\frac{4}{1+4 x^2}$$
C
$$-\frac{2}{1+4 x^2}$$
D
$$\frac{1}{1+4 x^2}$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { If } \sin y=x(\cos (a+y)) \text {, then find } \frac{d y}{d x} \text { when } x=0$$

A
1
B
sec a
C
cos a
D
$$-1$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The approximate value of $$f(5.001)$$, where $$f(x)=x^3-7 x^2+10$$

A
$$-39.995$$
B
$$-38.995$$
C
$$-37.335$$
D
$$-40.995$$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$\text { If } f(x)=\sin ^{-1}\left(\frac{2^{x+1}}{1+4^x}\right) \text { then } f^{\prime}(0) \text { is equal to }$$

A
$$2 \log 2$$
B
$$\frac{2}{3} \log 2$$
C
0
D
$$\log 2$$
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