Explore topic-wise MCQs in Mathematics Questions and Answers.

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

1.

Differentiate \(log⁡(cos⁡(sin⁡(e^{x^3})))\) w.r.t x.

A. –\(3x^2 \,e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
B. \(3x^2 \,e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
C. –\(3e^{x^3} \,cos⁡e^{x^3} \,cos⁡(sin⁡e^{x^3})\)
D. –\(x^2 e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
Answer» B. \(3x^2 \,e^{x^3} \,cos⁡e^{x^3} \,tan⁡(sin⁡e^{x^3})\)
Discussion
2.

Differentiate 2ex4 log⁡x w.r.t x.

A. \(\frac{2e^{x^4} (4x^4 log⁡x+1)}{x^2}\)
B. \(\frac{e^{x^4} (4x^4 log⁡x+1)}{x}\)
C. \(\frac{2e^{x^4} (4x^4 log⁡x+1)}{x}\)
D. –\(\frac{2e^{x^4} (4x^4 log⁡x+1)}{x}\)
Answer» D. –\(\frac{2e^{x^4} (4x^4 log⁡x+1)}{x}\)
Discussion
3.

Differentiate 7 log⁡(x4.5ex3) w.r.t x.

A. \(\frac{7(4+3x^3)}{x^2}\)
B. \(\frac{7(4-3x^3)}{x}\)
C. –\(\frac{7(4+3x^3)}{x}\)
D. \(\frac{7(4+3x^3)}{x}\)
Answer» E.
Discussion
4.

Differentiate log⁡(e5x3) w.r.t x.

A. \(\frac{-15x^2}{e^{5x^3}}\)
B. \(\frac{15x^2}{e^{5x^3}}\)
C. 15x2
D. -15x2
Answer» D. -15x2
Discussion
5.

Differentiate 5ex2 tan⁡x w.r.t x.

A. 5ex2 (1+tan⁡x)2
B. -5ex2 (1+tan⁡x)2
C. 5ex2 (1-tan⁡x)2
D. -5ex2 (1-tan⁡x)2
Answer» B. -5ex2 (1+tan⁡x)2
Discussion
6.

Differentiate 3e3x3 w.r.t x.

A. 27x-2 e3x3
B. 27x2 e3x3
C. -27x2 e3x3
D. -27x-2 e3x3
Answer» C. -27x2 e3x3
Discussion
7.

Differentiate log⁡(log⁡x5) w.r.t x.

A. –\(\frac{5}{x log⁡x^5}\)
B. \(\frac{1}{log⁡x^5}\)
C. \(\frac{5}{x log⁡x^5}\)
D. –\(\frac{1}{x log⁡x^5}\)
Answer» D. –\(\frac{1}{x log⁡x^5}\)
Discussion
8.

Differentiate 3 sin-1⁡(e2x) w.r.t x.

A. \(\frac{6e^2x}{\sqrt{1-e^{4x}}}\)
B. \(\frac{2e^2x}{\sqrt{1-e^{4x}}}\)
C. –\(\frac{6e^2x}{\sqrt{1-e^{4x}}}\)
D. \(\frac{6e^{-2x}}{\sqrt{1-e^{4x}}}\)
Answer» B. \(\frac{2e^2x}{\sqrt{1-e^{4x}}}\)
Discussion
9.

Differentiate 8ecos2x w.r.t x.

A. 16 sin⁡2x ecos2x
B. -16 sin⁡2x ecos2x
C. -16 sin⁡2x e-cos⁡2x
D. 16 sin⁡2x e-cos⁡2x
Answer» C. -16 sin⁡2x e-cos⁡2x
Discussion
10.

Differentiate 8e-x+2ex w.r.t x.

A. 2e-x+8ex
B. 2ex+8e-x
C. 2e-x-8ex
D. 2ex-8e-x
Answer» E.
Discussion