1
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
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the derivative of $${\sec ^2}({\tan ^{ - 1}}x)$$ with respect to x ?
A
2x
B
x2 + 1
C
x + 1
D
x2
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = sin (cos x), then f'(x) is equal to
A
cos (cos x)
B
sin ($$-$$ sin x)
C
(sin x) cos(cos x)
D
($$-$$ sin x) cos(cos x)
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f : (-1, 1) → R be a differentiable function with f(0) = -1 and f’(0) = 1 Let h(x) = f(2f(x) +2) and g(x) = (h(x))2

What is h’(0) equal to? 
1
-2
2
-1
3
0
4
2
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