1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let the function f(x) = |x - 3| + |x - 4| be defined on the interval [0, 5].
What is $\frac{dy}{dx}$ at x = 3.5 equal to?
1
0
2
1
3
2
4
3.5
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let the function f(x) = |x - 3| + |x - 4| be defined on the interval [0, 5].

Consider the following statements:

I. The function is differentiable at x = 3

II. The function is differentiable at x = 4

Which of the statements given above is/are correct?

1
 I only
2
 II only
3
Both I and II
4
Neither I nor II
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is$f\circ f\circ f\circ f\circ f(0)$ equal to?
1
0
2
1
3
5
4
10
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is the inverse of the function?
1
$\log _{10}(2x-1)$
2
$\frac{1}{2}\log _{10}(2x-1)$
3
$ \frac{1}{4}\log _{10}(\frac{2x}{2-x})$
4
$\frac{1}{2}\log _{10}(\frac{1+x}{1-x})$