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1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following for the two (02) items that follow: 

 Let , where p,q are positive integers.

The derivative of y with respect to x
A
depends on p only
B
depends on q only
C
depends on both p and qc
D
is independent of both p and q
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following for the two (02) items that follow: 

 Let , where p,q are positive integers.

If , then what is $\frac{dy}{dx}$ equal to?
A
$\frac{y}{x}$
B
$xy$
C
$x^{10}y^{10}$
D
$(\frac{y}{x})^{10}$
3
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
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 g’(0) equal to? 
1
-4
2
-2
3
0
4
4
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