MCQOPTIONS

Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 11 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.	What is the value of \(\frac{d}{dx}(\frac{sec⁡x}{cosec\, x \,tan⁡x}\))?
A.	0
B.	1
C.	cos ⁡x
D.	sin ⁡x
Answer» B. 1

2.	What is the value of \(\frac{d}{dx}(\frac{cos⁡x}{sec⁡x \,tan⁡x})\)?
A.	-tan2⁡ x(3 sin2⁡ x – cos2 x)
B.	-cot2 x(3 sin2⁡ x – cos2 x)
C.	-cot2 x(3 sin2⁡ x + cos2 x)
D.	-tan2⁡ x(3 sin2⁡ x + cos2 x)
Answer» D. -tan2⁡ x(3 sin2⁡ x + cos2 x)

3.	What is the value of \(\frac{d}{dx}\)(cos2⁡ x tan⁡ x) at x = 1?
A.	-1
B.	0
C.	-2
D.	1
Answer» E.

4.	What is the value of \(\frac{d}{dx}\) (ex tan x) at x = 0?
A.	0
B.	1
C.	-1
D.	2
Answer» C. -1

5.	What is the value of \(\frac{d}{dx}\)(ex sinx + ex cos ⁡x)?
A.	0
B.	2 cos⁡x
C.	2ex.sin ⁡x
D.	2ex.cos⁡ x
Answer» E.

6.	The derivative of ln⁡ ex = 1. Is the statement true or false?
A.	True
B.	False
Answer» B. False

7.	What is the value of ln ⁡\(\frac{3}{x}\)?
A.	⁡\(\frac{2}{x^3}\)
B.	⁡\(\frac{-3}{x^3}\)
C.	⁡\(\frac{-9}{x^3}\)
D.	⁡\(\frac{9}{x^3}\)
Answer» D. ⁡\(\frac{9}{x^3}\)

8.	What is the value of \(\frac{d}{dx}(\frac{a^x}{e^x})\)?
A.	\(\frac{a^x (ln \,⁡a-a^x)}{e^x}\)
B.	\(\frac{a^x (ln\, ⁡a-e^x)}{e^x}\)
C.	\(\frac{a^x (ln\, ⁡a-1)}{e^x}\)
D.	\(\frac{a^x (ln\, ⁡a-1)}{(e^x)(e^x)}\)
Answer» D. \(\frac{a^x (ln\, ⁡a-1)}{(e^x)(e^x)}\)

9.	What is the value of \(\frac{d}{dx}\) (sin⁡ x3 cos⁡ x2)?
A.	3x2 cos x2 cos⁡ x3 + 2x sin⁡ x3 sin x2
B.	3x2 cos⁡ x2 cos⁡ x3 – 2x sin⁡ x3 sin x2
C.	2x cos x2 cos⁡ x3 – 2x sin⁡ x3 sin x2
D.	2x cos x2 cos⁡ x3 + 3x2 sin⁡ x3 sin x2
Answer» C. 2x cos x2 cos⁡ x3 – 2x sin⁡ x3 sin x2

10.	What is the value of \(\frac{d}{dx}\) (sin⁡ x tan⁡ x)?
A.	sin⁡ x + tan⁡ x sec⁡ x
B.	cos⁡ x + tan⁡ x sec⁡ x
C.	sin⁡ x + tan⁡ x
D.	sin⁡ x + tan⁡ x sec2⁡x
Answer» B. cos⁡ x + tan⁡ x sec⁡ x

11.	Find the derivative of ex2.
A.	ex2
B.	2x
C.	2ex2
D.	2xex2
Answer» E.