Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the second order derivative if y=e2x2.

A. 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+3)
B. 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>-1)
C. 4e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1)
D. e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1)
Answer» D. e<sup>2x<sup>2</sup></sup> (4x<sup>2</sup>+1)
Discussion
2.

Find the second order derivative of y=3x2 1 + log (4x)

A. 3+ ( frac{1}{x^2} )
B. 3- ( frac{1}{x^2} )
C. 6- ( frac{1}{x^2} )
D. 6+ ( frac{1}{x^2} )
Answer» D. 6+ ( frac{1}{x^2} )
Discussion
3.

Find the second order derivative y=e2x+sin-1 ex .

A. e<sup>2x</sup>+ ( frac{e^x}{(1-e^2x)^{3/2}} )
B. 4e<sup>2x</sup>+ ( frac{1}{(1-e^2x)^{3/2}} )
C. 4e<sup>2x</sup> ( frac{e^x}{(1-e^2x)^{3/2}} )
D. 4e<sup>2x</sup>+ ( frac{e^x}{(1-e^2x)^{3/2}} )
Answer» E.
Discussion
4.

Find ( frac{d^2 y}{dx^2} )-6 ( frac{dy}{dx} ) if y=4x4+2x.

A. ((4x^2+8x-1) )
B. (12(4x^2+8x-1) )
C. (12(4x^2+8x-1) )
D. (12(4x^2-8x-1) )
Answer» E.
Discussion
5.

If y=log (2x3), find ( frac{d^2 y}{dx^2} ).

A. ( frac{2}{x^2} )
B. ( frac{3}{x^2} )
C. ( frac{2}{x^2} )
D. ( frac{3}{x^2} )
Answer» E.
Discussion
6.

Find ( frac{d^2 y}{dx^2} ), if y=2 sin-1 (cos x).

A. 0
B. sin<sup>-1</sup> (( frac{1}{cos u2061x}) )
C. 1
D. -1
Answer» B. sin<sup>-1</sup> (( frac{1}{cos u2061x}) )
Discussion
7.

Find the second order derivative of y=2e2x-3 log (2x-3).

A. 8e<sup>2x</sup>+ ( frac{1}{(2x-3)^2} )
B. 8e<sup>2x</sup> ( frac{12}{(2x-3)^2} )
C. e<sup>2x</sup>+ ( frac{12}{(2x-3)^2} )
D. 8e<sup>2x</sup>+ ( frac{12}{(2x-3)^2} )
Answer» E.
Discussion
8.

If y=6x2+3, then ( left ( frac{dy}{dx} right )^2= frac{d^2 y}{dx^2} ).

A. True
B. False
Answer» C.
Discussion
9.

Find ( frac{d^2y}{dx^2} ), if y=tan2 x+3 tan x.

A. sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x+3)
B. 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x-sec u2061x+3)
C. 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x+3)
D. 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x-3)
Answer» D. 2 sec<sup>2</sup> u2061 u2061x tan u2061x (2 tan u2061x+sec u2061x-3)
Discussion
10.

Find the second order derivative of y=9 log t3.

A. ( frac{27}{t^2} )
B. ( frac{27}{t^2} )
C. ( frac{1}{t^2} )
D. ( frac{27}{2t^2} )
Answer» C. ( frac{1}{t^2} )
Discussion