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) = 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
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 f(x) at x = 0.5 ?
A
-2
B
-1
C
1
D
2
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 = 2 ? 
A
$- \frac{1}{2}$
B
-1
C
$\frac{1}{2}$
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 fof(x), where 1 < x < 2 ?
A
$\frac{1}{\ln x}$
B
$\frac{1}{x \ln x}$
C
$-\frac{1}{\ln x}$
D
$-\frac{1}{x\ln x}$
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