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. d/dx (Sina) =

A) cos a

B) – a cos a

C) 0

D) a cos a

2 / 20

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

A) +iv only

B) None of these

C) –iv only

D) +iv or –iv

3 / 20

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

A) x ∈[− 1,1], y ∈ R

B) x ∈ R, y ∈ R

C) x > 0, y >0

D) x ∈ R[−1,1], y ∈ R

4 / 20

4. d/dx(xⁿ) = nxⁿ⁻¹ is called

A) Power rule

B) Product rule

C) Quotient rule

D) Constant rule

5 / 20

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

A) f(x)g′(x) − g(x)f′(x)

B) f′(x) − g′(x)

C) f′ (x) + g′ (x)

D) f(x)g′(x) + g(x)f′(x)

6 / 20

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

A) x < 0, y < 0

B) x ∈ [1, ∞), y ∈ [0, ∞)

C) x ∈ [1, ∞), y ∈ (0, ∞]

D) x ∈ R, y ∈ R

7 / 20

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

A) imaginary number

B) Irrational number

C) rational number

D) real number

8 / 20

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

A) x > 0, y > 0

B) x < 0, y < 0

C) x ∈ R, y > 0

D) x ∈ R, x > 0

9 / 20

9. limx→a f(x)−f(a)/x−a =

A) f(x − a)

B) f′(a)

C) f(0)

D) f′(x)

10 / 20

10. If y = e−ax , then y2 =

A) – ae^ax

B) – a^2 e^−2ax

C) – a^2 e^ax

D) a^2 e^−2ax

11 / 20

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

A) Lagrange

B) Newton

C) Leibnitz

D) Cauchy

12 / 20

12. d/dx (ax + b)ⁿ =

A) n(a^n−1x + b)

B) n(a^x + b)^ n−1

C) na(ax + b) ^n−1

D) n(a^n−1x)

13 / 20

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

A) x ∈ [−1,1], y ∈ R − {0}

B) x ∈[ − 1,1], y ∈ R

C) x > 0, y > 0

D) x ∈ R, y ∈ R

14 / 20

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

A) Zero

B) Undefined

C) Positive

D) Negative

15 / 20

15. d/dx 2^x =

A) 2^x

B) ln2/2^x

C) 2^x ln2

D) 2^x ln2

16 / 20

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

A) x ∈[ − 1,1], y ∈ R

B) x ∈ R, y ∈ R

C) x ∈ [−1,1], y ∈ R − {0}

D) x ∈ (0,1], y ∈ [0, ∞)

17 / 20

17. The notation ḟ(x) is used by

A) Leibnitz

B) Cauchy

C) Lagrange

D) Newton

18 / 20

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

A) Zero

B) Undefined

C) Negative

D) Positive

19 / 20

19. d/dx tan3x =

A) sec^2 x

B) 1/3 sec^2 3x

C) 3 sec2 3x

D) cot3x

20 / 20

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

A) 2e^2x

B) 4 e^2x

C) e^2x

D) 16 e^2x

Your score is

2nd Year Math Chapter 2 Differentiation MCQs With Answers

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