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1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow : 

Let f(x) = |ln x|, x ≠ 1 

What is the derivative of f(x) at x = 2 ? 
A
$- \frac{1}{2}$
B
-1
C
$\frac{1}{2}$
D
2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next three (03) items that follow : 

Let f(x) = |ln x|, x ≠ 1 

What is the derivative of fof(x), where 1 < x < 2 ?
A
$\frac{1}{\ln x}$
B
$\frac{1}{x \ln x}$
C
$-\frac{1}{\ln x}$
D
$-\frac{1}{x\ln x}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the derivative of cosec(x°) ?  
A
-cosec(x°) cot(x°)  
B
$ -\frac{\pi}{180} \operatorname{cosec}\left(x^{\circ}\right) \cot \left(x^{\circ}\right) $
C
$\frac{\pi}{180} \operatorname{cosec}\left(x^{\circ}\right) \cot \left(x^{\circ}\right) $
D
$-\frac{\pi}{180} \operatorname{cosec}(x) \cot (x)$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If y = $\frac{x \sqrt{x^2−16}}{2} − 8 \ln\left|x + \sqrt{x^2−16}\right|$, then what is $\frac{\text{dy}}{\text{dx}}$ equal to ?
A
$\text{x}\sqrt{\text{x}^2−16}$
B
$\text{x}−\sqrt{\text{x}^2−16}$
C
$\sqrt{\text{x}^2−16}$
D
$4\sqrt{\text{x}^2−16}$
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