1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If y = cos x ⋅ cos 4x ⋅ cos 8x, then what is $\rm \frac{1}{y}\frac{dy}{dx}$ at $\rm x = \frac{\pi}{4}$ equal to?
A
-1
B
0
C
1
D
3
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let f(x) be a polynomial function such that f ∘ f(x) = x4. What is f'(1) equal to ?
A
0
B
1
C
2
D
4
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the derivative of $\rm e^{e^x}$ with respect to ex?
A
$\rm e^{e^x}$
B
ex
C
$\rm e^{e^x}$ex
D
eex
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the derivative of ex with respect to xe?
A
$\dfrac{xe^x}{ex^e}$
B
$\dfrac{e^x}{x^e}$
C
$\dfrac{xe^x}{x^e}$
D
$\dfrac{e^x}{ex^e}$
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