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 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following three (03) items:
Let $y=f(x)=\frac{x\sin ^{-1}x}{\sqrt{1-x^{2}}}+\ln \sqrt{1-x^{2}}.$
What is $\frac{d^{2}y}{dx^{2}}$ at x = 0 equal to?
1
0
2
0.5
3
1
4
1.5