1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = |ln|x|| where 0 < x < 1, then what is f'(0.5) equal to ?
A
-2
B
-1
C
0
D
2
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f'(x) = cos (In x) and $y=f\left(\frac{2 x-3}{x}\right)$, then what is $\frac{d y}{d x}$ equal to ?
A
$ \cos \left(\ln \left(\frac{2 \mathrm{x}-3}{\mathrm{x}}\right)\right)$
B
$-\frac{3}{\mathrm{x}^2} \sin \left(\ln \left(\frac{2 \mathrm{x}-3}{\mathrm{x}}\right)\right)$
C
$\frac{3}{\mathrm{x}^2} \cos \left(\ln \left(\frac{2 \mathrm{x}-3}{\mathrm{x}}\right)\right)$
D
$-\frac{3}{\mathrm{x}^2} \cos \left(\ln \left(\frac{2 \mathrm{x}-3}{\mathrm{x}}\right)\right)$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\displaystyle \rm \int_0^{8 \pi}|\sin x| d x$ equal to?
A
2
B
4
C
8
D
16
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the area between the curve f(x) = x |x| and x-axis for x = [-1, 1]?
A
$\frac{2}{3}$
B
$\frac{1}{2}$
C
$\frac{1}{4}$
D
$\frac{1}{3}$
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