Test Your Calculus Skills

Test Your Calculus Skills

Put your calculus knowledge to the test with these 12 challenging questions.

published on January 20
1/12

What is the derivative of 2x^3?

What is the derivative of 2x^3?
3x^2
6x^2
4x^3
6x
2/12

What is the integral of x^2?

What is the integral of x^2?
2x
x^3
1/3x^3
x
3/12

What is the definition of a limit in calculus?

What is the definition of a limit in calculus?
The value a function approaches as the input approaches a certain value
The highest value a function can reach
The average of function values in a given interval
The change in output divided by the change in input
4/12

What is the chain rule used for in calculus?

What is the chain rule used for in calculus?
Finding the slope of a tangent line
Evaluating definite integrals
Differentiating composite functions
Solving systems of equations
5/12

What is the area under a curve called?

What is the area under a curve called?
Tangent line
Derivative
Integral
Definite integral
6/12

What does the symbol ∫ represent in calculus?

What does the symbol ∫ represent in calculus?
Summation
Integration
Differentiation
Division
7/12

What is the product rule used for in calculus?

What is the product rule used for in calculus?
Finding the slope of a tangent line
Evaluating definite integrals
Differentiating composite functions
Differentiating products of functions
8/12

What is the limit of sin(x) as x approaches infinity?

What is the limit of sin(x) as x approaches infinity?
-1
0
undefined
1
9/12

What is the second derivative of a function?

What is the second derivative of a function?
The derivative of the derivative
The integral of the function
The anti-derivative of the function
The limit of the function
10/12

What does the mean value theorem state?

What does the mean value theorem state?
The derivative of a constant function is zero
There exists a point in the interval where the derivative equals the average rate of change
The derivative of a product of functions is the product of their derivatives
The derivative of the sum of functions is the sum of their derivatives
11/12

What is the fundamental theorem of calculus?

What is the fundamental theorem of calculus?
The derivative of a constant function is zero
The derivative of a product of functions is the product of their derivatives
The derivative of the sum of functions is the sum of their derivatives
The integral of a function is the antiderivative of its derivative
12/12

Which of the following is not a method of integration?

Which of the following is not a method of integration?
Substitution
By parts
Trigonometric substitution
Differentiation