Chapter 2 Differentiation Math 12th Class Punjab MCQ Tests
12th Class Math Chapter 2 MCQ Tests
Chapter 2 of 12th Class Math has 59 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 59
Total Marks: 59
Time: Mins
Total Questions: 59
Total Marks: 59
Time: Mins
Min : 00 Sec Remaining
Question # 1
The derivative of :
Question # 2
For the domain x ∈ ( − 4 , 1 ) the function f ( x ) = x2 + 3 x + 2 decreases in the interval _____.
Question # 3
If y = S i n − 1 x , then find the expression for x .
Question # 4
Evaluate the derivative of c o s h x with respect to x .
Question # 5
The Maclaurin series expansion for eX is _____.
Question # 6
Find dy/dx if y = t a n h − 1 ( s i n x ).
Question # 7
Find the second order derivative of f(x):
Question # 8
Find the derivative of equation:
Question # 9
. . . is series expansion of _____.
Question # 10
Find the second order derivative of f(x) = ?
Question # 11
For a function f ( x ) , f ′ ( x ) is known as _____.
Question # 12
The derivative of Sinx with respect to x is _____.
Question # 13
Find y4 if y = c o s ( a x + b ).
Question # 14
The derivative of x with respect to x is _____.
Question # 15
The function f ( x ) = x3 − 6 x2 + 9x has relative minima at _____.
Question # 16
dy/dx is equal to _____.
Question # 17
f′′′ ( x ) is known as _____.
Question # 18
For two functions f ( x ) and g ( x ), find the derivative:
Question # 19
Find dy/dx if y = cosh2x.
Question # 20
The domain of d/dx ( c o s − 1 h x ) is_____.
Question # 21
Find the value of:
Question # 22
By the chain rule dy/dx =_____.
Question # 23
The Maclaurin series expansion is only valid if it is _____.
Question # 24
The increment in x is denoted by _____.
Question # 25
A function is said to be increasing if _____.
Question # 26
If a function has a maximum value at x = c and there is no other maximum point, then the function at x = c has _____.
Question # 27
For y = √x find δy.
Question # 28
Find:
Question # 29
The curve representing the slope of curve of s i n x is the curve of _____.
Question # 30
Determine the interval in which the function f ( x ) = 4 − x2 is increasing for the domain x ∈ ( − 2 , 2 ) .
Question # 31
Find the derivative of :
Question # 32
Find the derivative of Cot4x.
Question # 33
The power formula for differentiation is _____.
Question # 34
A function is said to be decreasing if _____.
Question # 35
Differentiate :
Question # 36
If y = sech −1x, find d/dx.
Question # 37
The domain d/dx ( cos − 1hx ) is_____.
Question # 38
Find the derivative of cos2x with respect to x.
Question # 39
In the function y = f ( x ) = x2 + 1 , the dependent variable is _____.
Question # 40
Find the third order derivative of f ( t ) = s i n t + t 2.
Question # 41
Solve:
Question # 42
Find the point of inflexion of the function f ( x ) = x3.
Question # 43
Evaluate the derivative of s e c h x with respect to x.
Question # 44
Find the point on the graph of the curve y = x2 + 1 that is closest to the fixed point ( 4 , 1 ).
Question # 45
The function f ( x ) = x4 − 4 x2 has a relative maximam at x =_____.
Question # 46
The derivative of :
Question # 47
For two differentiable functions f ( x ) and g ( x ) , the derivative:
Question # 48
The method of finding the derivative by first principal is also known as _____.
Question # 49
Find the interval in which the function f ( x ) = x2 + 2 x − 3 is increasing.
Question # 50
The relation f′ [ g ( x ) ] . g′ ( x ) is equal to _____.
Question # 51
If y = s e c h − 1 x , then find d/dx.
Question # 52
The derivative of
Question # 53
A series of the form :
Question # 54
The set of values of x , for which y is defined, is known as _____.
Question # 55
In the function y = f ( x ) = x2 + 1 , x is _____.
Question # 56
Which of the following statements is correct?
Question # 57
Which of the following is the derivative of?
Question # 58
Find the derivative of the function :
Question # 59
Solve
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859
Question # 1
The derivative of :
Question # 2
For the domain x ∈ ( − 4 , 1 ) the function f ( x ) = x2 + 3 x + 2 decreases in the interval _____.
Question # 3
If y = S i n − 1 x , then find the expression for x .
Question # 4
Evaluate the derivative of c o s h x with respect to x .
Question # 5
The Maclaurin series expansion for eX is _____.
Question # 6
Find dy/dx if y = t a n h − 1 ( s i n x ).
Question # 7
Find the second order derivative of f(x):
Question # 8
Find the derivative of equation:
Question # 9
. . . is series expansion of _____.
Question # 10
Find the second order derivative of f(x) = ?
Question # 11
For a function f ( x ) , f ′ ( x ) is known as _____.
Question # 12
The derivative of Sinx with respect to x is _____.
Question # 13
Find y4 if y = c o s ( a x + b ).
Question # 14
The derivative of x with respect to x is _____.
Question # 15
The function f ( x ) = x3 − 6 x2 + 9x has relative minima at _____.
Question # 16
dy/dx is equal to _____.
Question # 17
f′′′ ( x ) is known as _____.
Question # 18
For two functions f ( x ) and g ( x ), find the derivative:
Question # 19
Find dy/dx if y = cosh2x.
Question # 20
The domain of d/dx ( c o s − 1 h x ) is_____.
Question # 21
Find the value of:
Question # 22
By the chain rule dy/dx =_____.
Question # 23
The Maclaurin series expansion is only valid if it is _____.
Question # 24
The increment in x is denoted by _____.
Question # 25
A function is said to be increasing if _____.
Question # 26
If a function has a maximum value at x = c and there is no other maximum point, then the function at x = c has _____.
Question # 27
For y = √x find δy.
Question # 28
Find:
Question # 29
The curve representing the slope of curve of s i n x is the curve of _____.
Question # 30
Determine the interval in which the function f ( x ) = 4 − x2 is increasing for the domain x ∈ ( − 2 , 2 ) .
Question # 31
Find the derivative of :
Question # 32
Find the derivative of Cot4x.
Question # 33
The power formula for differentiation is _____.
Question # 34
A function is said to be decreasing if _____.
Question # 35
Differentiate :
Question # 36
If y = sech −1x, find d/dx.
Question # 37
The domain d/dx ( cos − 1hx ) is_____.
Question # 38
Find the derivative of cos2x with respect to x.
Question # 39
In the function y = f ( x ) = x2 + 1 , the dependent variable is _____.
Question # 40
Find the third order derivative of f ( t ) = s i n t + t 2.
Question # 41
Solve:
Question # 42
Find the point of inflexion of the function f ( x ) = x3.
Question # 43
Evaluate the derivative of s e c h x with respect to x.
Question # 44
Find the point on the graph of the curve y = x2 + 1 that is closest to the fixed point ( 4 , 1 ).
Question # 45
The function f ( x ) = x4 − 4 x2 has a relative maximam at x =_____.
Question # 46
The derivative of :
Question # 47
For two differentiable functions f ( x ) and g ( x ) , the derivative:
Question # 48
The method of finding the derivative by first principal is also known as _____.
Question # 49
Find the interval in which the function f ( x ) = x2 + 2 x − 3 is increasing.
Question # 50
The relation f′ [ g ( x ) ] . g′ ( x ) is equal to _____.
Question # 51
If y = s e c h − 1 x , then find d/dx.
Question # 52
The derivative of
Question # 53
A series of the form :
Question # 54
The set of values of x , for which y is defined, is known as _____.
Question # 55
In the function y = f ( x ) = x2 + 1 , x is _____.
Question # 56
Which of the following statements is correct?
Question # 57
Which of the following is the derivative of?
Question # 58
Find the derivative of the function :
Question # 59
Solve
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859
Math MCQ Test by Topics
- +2.1 Introduction
- +2.1.1 Average rate of Change
- +2.1.2 Derivative of a Function
- +2.2 Finding f(x) from definition of Derivative
- +2.2.1 Derivation of xn where neZ
- +2.2.2 Differentiation of Expressions of the types
- +2.1 Exercise
- +2.2 Exercise
- +2.3 Theorems
- +2.3 Derivative of a sum or a Difference of Functions
- +2.3 Derivative of a product (The product Rule)
- +2.3 Derivative of a Quotient (The Quotient Rule)
- +2.3 Exercise
- +2.4 The Chain Rule
- +2.5 Derivatives of Inverse Funtions
- +2.6 Derivative of a Function given in the form of Parametric Equations
- +2.7 Differentiation of Implicit Relations
- +2.4 Exercise
- +2.8 Derivatives of Trigonometric Functions
- +2.9 Derivatives of inverse Trigonometric Functions
- +2.5 Exercise
- +2.10 Derivative of Exponential Functions
- +2.11 Derivative of the Logarithmic Function
- +2.12 Logarithmic Differentiation
- +2.13 Derivative of Hyperbolic Functions
- +2.14 Derivatives of the inverse Hyperbolic Functions
- +2.6 Exercise
- +2.15 Successive Differentiation (or Higher Derivatives)
- +2.7 Exercise
- +2.16 Series Expansions of Functions
- +2.17 Tailor Series Expansions of Funtions
- +2.8 Exercise
- +2.18 Geometrical Interpretation of a Derivative
- +2.19 Increasing and Decreasing Functions
- +2.20 Relative Extrema
- +2.21 Critical Values and Critical Points
- +2.21 Second Derivative Test
- +2.9 Exercise
- +2.21 Application of Maxima and Minima
- +2.10 Exercise
Math
12th Class Online Classes 2026
Updated on: 17-05-2026
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12th Class 2026 Online
12th Class 2026
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