1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the derivative of $${2^{{{(\sin x)}^2}}}$$ with respect to sin x?
A
$$\sin x{2^{{{(\sin x)}^2}}}\ln 4$$
B
$$2\sin x{2^{{{(\sin x)}^2}}}\ln 4$$
C
$$\ln (\sin x){2^{{{(\sin x)}^2}}}$$
D
$$2\sin x\cos x{2^{{{(\sin x)}^2}}}$$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = {x^2} + 2x - 5$$ and $$g(x) = 5x + 30$$. If $$h(x) = 5f(x) - xg(x)$$, then what is the derivative of h(x)?
A
$$-$$40
B
$$-$$20
C
$$-$$10
D
0
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow :

Consider the equation xy = ex $$-$$ y
What is $${{dy} \over {dx}}$$ at x = 1 equal to ?
A
0
B
1
C
2
D
4
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow :

Consider the equation xy = ex $$-$$ y
What is $${{{d^2}y} \over {d{x^2}}}$$ at x = 1 equal to ?
A
0
B
1
C
2
D
4
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