2nd Year Math Chapter 2 Differentiation MCQs With Answers

Your search for the 2nd Year Math Chapter 2 Differentiation MCQs With Answers is going to end here. This place is where you will find the important MCQs of Differentiation. This chapter consists of the concepts including Dependent and Independent Variables and Derivation of function. After this, you will be able to get the concept of finding f'(x) from the definition of the derivative. There are some important theorems of differentiation. Through these MCQs, you can improve the concepts including the chain rule, the derivative of inverse functions, the differentiation of implicit relations, trigonometric functions, and inverse trigonometric functions. So, these are Important topics and you will get the 2nd Year Math MCQs with Answers Chapter 2 here. Scroll down and get the resources.

2nd Year Math Chapter 2 Differentiation MCQs With Answers

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2nd Year Math Chapter 2

1 / 20

1. y = tanh⁻¹x if and only if x = tanhy is valid when

A) x ∈ R[−1,1], y ∈ R

B) x > 0, y >0

C) x ∈ R, y ∈ R

D) x ∈[− 1,1], y ∈ R

2 / 20

2. y = coth⁻¹x if and only if x = cothy is valid when

A) x ∈ R, y ∈ R

B) x ∈ [−1,1], y ∈ R − {0}

C) x > 0, y > 0

D) x ∈[ − 1,1], y ∈ R

3 / 20

3. If a function f is increasing within [a, b] ,then slope of tangent to its graph within [a, b] remains

A) Positive

B) Zero

C) Negative

D) Undefined

4 / 20

4. If a function f is increasing within [a, b] ,then slope of tangent to its graph within [a, b] remains

A) Zero

B) Positive

C) Negative

D) Undefined

5 / 20

5. y = cosh⁻¹x if and only if x = coshy is valid when

A) x ∈ [1, ∞), y ∈ [0, ∞)

B) x ∈ [1, ∞), y ∈ (0, ∞]

C) x < 0, y < 0

D) x ∈ R, y ∈ R

6 / 20

6. The change in variable x is called the increment of x. It is denoted by δx which is

A) +iv only

B) –iv only

C) +iv or –iv

D) None of these

7 / 20

7. d/dx tan3x =

A) cot3x

B) sec^2 x

C) 1/3 sec^2 3x

D) 3 sec2 3x

8 / 20

8. d/dx (ax + b)ⁿ = na(ax + b)ⁿ⁻¹ is valid only when n must be:

A) imaginary number

B) real number

C) rational number

D) Irrational number

9 / 20

9. d/dx 2^x =

A) 2^x

B) ln2/2^x

C) 2^x ln2

D) 2^x ln2

10 / 20

10. The notation dy/dx or df/dx is used by

A) Leibnitz

B) Lagrange

C) Newton

D) Cauchy

11 / 20

11. d/dx (ax + b)ⁿ =

A) n(a^n−1x)

B) n(a^x + b)^ n−1

C) n(a^n−1x + b)

D) na(ax + b) ^n−1

12 / 20

12. d/dx [f(x) + g(x)] =

A) f′ (x) + g′ (x)

B) f(x)g′(x) + g(x)f′(x)

C) f(x)g′(x) − g(x)f′(x)

D) f′(x) − g′(x)

13 / 20

13. y = sinh⁻¹x if and only if x = sinhy is valid when

A) x ∈ R, y > 0

B) x ∈ R, x > 0

C) x < 0, y < 0

D) x > 0, y > 0

14 / 20

14. If y = e−ax , then y2 =

A) – a^2 e^−2ax

B) – a^2 e^ax

C) – ae^ax

D) a^2 e^−2ax

15 / 20

15. If y = e^2x, then y2=

A) 16 e^2x

B) 4 e^2x

C) e^2x

D) 2e^2x

16 / 20

16. limx→a f(x)−f(a)/x−a =

A) f′(a)

B) f′(x)

C) f(x − a)

D) f(0)

17 / 20

17. d/dx(xⁿ) = nxⁿ⁻¹ is called

A) Power rule

B) Product rule

C) Quotient rule

D) Constant rule

18 / 20

18. d/dx (Sina) =

A) cos a

B) a cos a

C) 0

D) – a cos a

19 / 20

19. The notation ḟ(x) is used by

A) Lagrange

B) Newton

C) Leibnitz

D) Cauchy

20 / 20

20. y = sech⁻¹x if and only if x = sechy is valid when

A) x ∈ [−1,1], y ∈ R − {0}

B) x ∈ R, y ∈ R

C) x ∈ (0,1], y ∈ [0, ∞)

D) x ∈[ − 1,1], y ∈ R

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2nd Year Math Chapter 2 Differentiation MCQs With Answers

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