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. 4e2x2 (4x2+3)
B. 4e2x2 (4x2-1)
C. 4e2x2 (4x2+1)
D. e2x2 (4x2+1)
Answer» D. e2x2 (4x2+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. e2x+\(\frac{e^x}{(1-e^2x)^{3/2}}\)
B. 4e2x+\(\frac{1}{(1-e^2x)^{3/2}}\)
C. 4e2x–\(\frac{e^x}{(1-e^2x)^{3/2}}\)
D. 4e2x+\(\frac{e^x}{(1-e^2x)^{3/2}}\)
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-1\((\frac{1}{cos⁡x})\)
C. 1
D. -1
Answer» B. sin-1\((\frac{1}{cos⁡x})\)
Discussion
7.

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

A. 8e2x+\(\frac{1}{(2x-3)^2}\)
B. 8e2x–\(\frac{12}{(2x-3)^2}\)
C. e2x+\(\frac{12}{(2x-3)^2}\)
D. 8e2x+\(\frac{12}{(2x-3)^2}\)
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. sec2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x+3)
B. 2 sec2⁡⁡x tan⁡x (2 tan⁡x-sec⁡x+3)
C. 2 sec2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x+3)
D. 2 sec2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x-3)
Answer» D. 2 sec2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x-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