12th class Mathematics chapter 2 online mcq test with answers for ICS part 2 Mathematics Unit 2 (Differentiation)

This online test contains MCQs about following topics:

- Introduction
- Finding f'(x) from Definition of Derivative
- This online test contains MCQs about following topics:
- Theorems on Definition
- The Chain Rule
- Derivative of Inverse Functions
- Derivative of Functions Given in the Form of Parametric Equations
- Differentiation of Implicit Relations
- Derivatives of Trigonometric Functions
- Derivatives of Inverse Trigonometric Functions
- Derivative of Exponential Functions
- Derivative of Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of the Inverse Hyperbolic Functions
- Successive Differentiation Or Higher Derivatives
- Series Expansion of Functions
- Tailor Series Expansion of Functions
- Geometrical Interpretation of a Derivative
- Increasing and Decreasing Functions
- Relative Extrema
- Critical Values of Critical Points

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ICS Part 2 Mathematics Chapter 2 Online MCQ's Test

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ICS Part 2 Mathematics Chapter Wise Online MCQ's Test

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Sr.#	Question	Answer
1		A. tan x B. cot x C. - tan x D. - cot x
2		A. Lagrange B. Newtown C. Leibniz D. Cauchy
3	If f(x) = cos x then f'(0) is equal to:	A. 0 B. -1 C. 1 D.
4		A. 0 B. 1 C. -1 D. 2
5		A. x = a B. for all x C. D. x = 0
6	Gottfried Whilhelm Leibniz was a (an) ----- mathematician:	A. German B. English C. Swiss D. French
7		A. cosech x coth x B. -cosech²x C. -cosech x coth x D. cosech²x
8	For a square of side x units, the rate of change of area with respect to the side is given by:	A. x B. x² C. 2x D. 2
9	If y = f(u) and u = F(x), then:	A. B. C. D.
10		A. sinh x B. cosh x C. -sinh x D. -cosh x
11		A. sec x tan x B. sec²x C. -sec x tan x D. -sec²x
12		A. B. C. D.
13		A. sin x B. -cos x C. -sin x D. cos x
14	Sir Isaac Newton was a(an) --------- mathematician.	A. German B. French C. Swiss D. English
15		A. x with respect to y B. y with respect to y C. y with respect to x D. x with respect to x
16	The small change in the value ofx, positive or negative is called the -------- of x.	A. Increment B. Differential C. Derivative D. none of these
17		A. -cosec x cotx B. cosec² x C. -cosec²x D. cosec x cotx
18		A. sinh x B. cosh x C. -sinh x D. -cosh x
19		A. c B. 0 C. 1 D. -c
20		A. B. C. D.