1
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
$$-1$$
2
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
$$-40.995$$
3
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
$$ \log 2 $$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=\frac{(x+1)^7 \sqrt{1+x^2}}{\left(x^2-x+1\right)^6}$$ then the value of $$f^{\prime}(0)$$ is equal to

A
15
B
2
C
13
D
11
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