1
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
$-\frac{3}{\mathrm{x}^2} \cos \left(\ln \left(\frac{2 \mathrm{x}-3}{\mathrm{x}}\right)\right)$
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) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

What is f'(0) equal to ?  
A
18
B
16
C
15
D
14
3
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 = 0.5 ?
A
-2
B
-1
C
1
D
2
4
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
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12