How to find the antiderivative of a simple function

How to find the antiderivative of a simple function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

1/2 X

X^3

2X

X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Subtract 2

Add 2

Divide by 2

Multiply by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

It is subtracted

It becomes zero

It doubles

It remains unchanged