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1
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
$\dfrac{e^x}{ex^e}$
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the derivative of sin(ln x) + cos(ln x) with respect to x at x = e?

A
$\dfrac{cos 1-sin1}{e}$
B
$\dfrac{sin1-cos1}{e}$
C
$\dfrac{cos1+sin1}{e}$
D
1
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If x = et cost and y = et sint, then what is $\dfrac{dx}{dy}$ at t = 0 equal to?
A
0
B
1
C
2e
D
-1
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