Calculus Practice Questions with Answers
This section contains simple practice questions on Limits, Derivatives, and Integration with
easy-to-understand answers.
1. Limits
Q1. Find lim (x -> 2) (x^2 + 3x).
Answer: Put x = 2: (2^2 + 3*2) = 4 + 6 = 10.
Q2. Find lim (x -> -1) (x^3 + x + 2).
Answer: Put x = -1: ((-1)^3 + (-1) + 2) = -1 -1 +2 = 0.
2. Derivatives
Q1. Find the derivative of y = x^3.
Answer: Bring down the power and subtract 1: Derivative = 3x^2.
Q2. Find the derivative of y = 5x^4.
Answer: Derivative = 20x^3.
3. Integration
Q1. Find the integration of x^2.
Answer: Increase power by 1 and divide: (x^3)/3 + C.
Q2. Find the integration of 4x.
Answer: Integration is (4x^2)/2 = 2x^2 + C.
This section contains simple practice questions on Limits, Derivatives, and Integration with
easy-to-understand answers.
1. Limits
Q1. Find lim (x -> 2) (x^2 + 3x).
Answer: Put x = 2: (2^2 + 3*2) = 4 + 6 = 10.
Q2. Find lim (x -> -1) (x^3 + x + 2).
Answer: Put x = -1: ((-1)^3 + (-1) + 2) = -1 -1 +2 = 0.
2. Derivatives
Q1. Find the derivative of y = x^3.
Answer: Bring down the power and subtract 1: Derivative = 3x^2.
Q2. Find the derivative of y = 5x^4.
Answer: Derivative = 20x^3.
3. Integration
Q1. Find the integration of x^2.
Answer: Increase power by 1 and divide: (x^3)/3 + C.
Q2. Find the integration of 4x.
Answer: Integration is (4x^2)/2 = 2x^2 + C.
