How to find the antiderivative of a simple function

The video tutorial introduces the concept of antiderivatives, explaining how they are the reverse process of derivatives. It covers the basic steps to find antiderivatives, using examples to illustrate the process. The tutorial also emphasizes the importance of verifying antiderivatives by taking derivatives to ensure accuracy.

What is the antiderivative of a function F'(X)?

• F(X) = 2X + C

• F(X) = X + C

• F(X) = X^2 + C

• F(X) = X^3 + C

What is the result of taking the derivative of X^2?

• 1/2 X

• X^3

• 2X

• X

How do you find the antiderivative of F'(X) to get X?

• Subtract 2

• Add 2

• Divide by 2

• Multiply by 2

Why is it important to verify the antiderivative by taking the derivative again?

• To determine the slope of the tangent

• To check if the derivative equals zero

• To find the constant term

• To ensure the original function is correct

What happens to the constant term when taking the derivative of an antiderivative?

• It is subtracted

• It becomes zero

• It doubles

• It remains unchanged