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
Find the derivative of the function :
Question # 2
Find the point of inflexion of the function f ( x ) = x3.
Question # 3
The relation f′ [ g ( x ) ] . g′ ( x ) is equal to _____.
Question # 4
Differentiate :
Question # 5
Find the point on the graph of the curve y = x2 + 1 that is closest to the fixed point ( 4 , 1 ).
Question # 6
Solve:
Question # 7
Find dy/dx if y = cosh2x.
Question # 8
. . . is series expansion of _____.
Question # 9
The Maclaurin series expansion for eX is _____.
Question # 10
Find the interval in which the function f ( x ) = x2 + 2 x − 3 is increasing.
Question # 11
Find y4 if y = c o s ( a x + b ).
Question # 12
If y = sech −1x, find d/dx.
Question # 13
The derivative of :
Question # 14
Evaluate the derivative of c o s h x with respect to x .
Question # 15
By the chain rule dy/dx =_____.
Question # 16
The method of finding the derivative by first principal is also known as _____.
Question # 17
Find the derivative of cos2x with respect to x.
Question # 18
Find the value of:
Question # 19
The domain d/dx ( cos − 1hx ) is_____.
Question # 20
A series of the form :
Question # 21
The derivative of
Question # 22
Find:
Question # 23
Find the third order derivative of f ( t ) = s i n t + t 2.
Question # 24
Which of the following statements is correct?
Question # 25
For the domain x ∈ ( − 4 , 1 ) the function f ( x ) = x2 + 3 x + 2 decreases in the interval _____.
Question # 26
The derivative of Sinx with respect to x is _____.
Question # 27
In the function y = f ( x ) = x2 + 1 , x is _____.
Question # 28
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 # 29
The derivative of :
Question # 30
Find the second order derivative of f(x):
Question # 31
The increment in x is denoted by _____.
Question # 32
A function is said to be increasing if _____.
Question # 33
The curve representing the slope of curve of s i n x is the curve of _____.
Question # 34
The function f ( x ) = x3 − 6 x2 + 9x has relative minima at _____.
Question # 35
If y = S i n − 1 x , then find the expression for x .
Question # 36
In the function y = f ( x ) = x2 + 1 , the dependent variable is _____.
Question # 37
Which of the following is the derivative of?
Question # 38
For y = √x find δy.
Question # 39
Find dy/dx if y = t a n h − 1 ( s i n x ).
Question # 40
If y = s e c h − 1 x , then find d/dx.
Question # 41
The domain of d/dx ( c o s − 1 h x ) is_____.
Question # 42
Solve
Question # 43
Find the derivative of :
Question # 44
Determine the interval in which the function f ( x ) = 4 − x2 is increasing for the domain x ∈ ( − 2 , 2 ) .
Question # 45
The function f ( x ) = x4 − 4 x2 has a relative maximam at x =_____.
Question # 46
For two functions f ( x ) and g ( x ), find the derivative:
Question # 47
Evaluate the derivative of s e c h x with respect to x.
Question # 48
For two differentiable functions f ( x ) and g ( x ) , the derivative:
Question # 49
Find the second order derivative of f(x) = ?
Question # 50
The power formula for differentiation is _____.
Question # 51
For a function f ( x ) , f ′ ( x ) is known as _____.
Question # 52
f′′′ ( x ) is known as _____.
Question # 53
The Maclaurin series expansion is only valid if it is _____.
Question # 54
The derivative of x with respect to x is _____.
Question # 55
dy/dx is equal to _____.
Question # 56
Find the derivative of Cot4x.
Question # 57
Find the derivative of equation:
Question # 58
A function is said to be decreasing if _____.
Question # 59
The set of values of x , for which y is defined, is known as _____.
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859
Question # 1
Find the derivative of the function :
Question # 2
Find the point of inflexion of the function f ( x ) = x3.
Question # 3
The relation f′ [ g ( x ) ] . g′ ( x ) is equal to _____.
Question # 4
Differentiate :
Question # 5
Find the point on the graph of the curve y = x2 + 1 that is closest to the fixed point ( 4 , 1 ).
Question # 6
Solve:
Question # 7
Find dy/dx if y = cosh2x.
Question # 8
. . . is series expansion of _____.
Question # 9
The Maclaurin series expansion for eX is _____.
Question # 10
Find the interval in which the function f ( x ) = x2 + 2 x − 3 is increasing.
Question # 11
Find y4 if y = c o s ( a x + b ).
Question # 12
If y = sech −1x, find d/dx.
Question # 13
The derivative of :
Question # 14
Evaluate the derivative of c o s h x with respect to x .
Question # 15
By the chain rule dy/dx =_____.
Question # 16
The method of finding the derivative by first principal is also known as _____.
Question # 17
Find the derivative of cos2x with respect to x.
Question # 18
Find the value of:
Question # 19
The domain d/dx ( cos − 1hx ) is_____.
Question # 20
A series of the form :
Question # 21
The derivative of
Question # 22
Find:
Question # 23
Find the third order derivative of f ( t ) = s i n t + t 2.
Question # 24
Which of the following statements is correct?
Question # 25
For the domain x ∈ ( − 4 , 1 ) the function f ( x ) = x2 + 3 x + 2 decreases in the interval _____.
Question # 26
The derivative of Sinx with respect to x is _____.
Question # 27
In the function y = f ( x ) = x2 + 1 , x is _____.
Question # 28
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 # 29
The derivative of :
Question # 30
Find the second order derivative of f(x):
Question # 31
The increment in x is denoted by _____.
Question # 32
A function is said to be increasing if _____.
Question # 33
The curve representing the slope of curve of s i n x is the curve of _____.
Question # 34
The function f ( x ) = x3 − 6 x2 + 9x has relative minima at _____.
Question # 35
If y = S i n − 1 x , then find the expression for x .
Question # 36
In the function y = f ( x ) = x2 + 1 , the dependent variable is _____.
Question # 37
Which of the following is the derivative of?
Question # 38
For y = √x find δy.
Question # 39
Find dy/dx if y = t a n h − 1 ( s i n x ).
Question # 40
If y = s e c h − 1 x , then find d/dx.
Question # 41
The domain of d/dx ( c o s − 1 h x ) is_____.
Question # 42
Solve
Question # 43
Find the derivative of :
Question # 44
Determine the interval in which the function f ( x ) = 4 − x2 is increasing for the domain x ∈ ( − 2 , 2 ) .
Question # 45
The function f ( x ) = x4 − 4 x2 has a relative maximam at x =_____.
Question # 46
For two functions f ( x ) and g ( x ), find the derivative:
Question # 47
Evaluate the derivative of s e c h x with respect to x.
Question # 48
For two differentiable functions f ( x ) and g ( x ) , the derivative:
Question # 49
Find the second order derivative of f(x) = ?
Question # 50
The power formula for differentiation is _____.
Question # 51
For a function f ( x ) , f ′ ( x ) is known as _____.
Question # 52
f′′′ ( x ) is known as _____.
Question # 53
The Maclaurin series expansion is only valid if it is _____.
Question # 54
The derivative of x with respect to x is _____.
Question # 55
dy/dx is equal to _____.
Question # 56
Find the derivative of Cot4x.
Question # 57
Find the derivative of equation:
Question # 58
A function is said to be decreasing if _____.
Question # 59
The set of values of x , for which y is defined, is known as _____.
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: 17-10-2026
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12th Class 2026 Online
12th Class 2026
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