Taking the derivative of exponential function with product rule

Taking the derivative of exponential function with product rule

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the application of the power and chain rules in calculus. It begins with an introduction to these rules, followed by an explanation of constants in derivatives, using e squared as an example. The instructor then demonstrates the application of the power rule, emphasizing that e squared is a constant. Finally, the chain rule is explained and applied, highlighting the importance of understanding the derivative of the inside function.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of a constant times a variable, such as e squared times x?

x squared

e to the x

e squared

2x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be cautious about when dealing with constants in derivatives?

Multiply them by x

Ignore them

Treat them as variables

Recognize them as numbers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the chain rule, what must you remember to do with the inside function?

Divide by its derivative

Add it to the outside function

Multiply by its derivative

Ignore it

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct application of the chain rule?

Derivative of e to the x is e to the x

Derivative of x squared is 2x

Derivative of 2x is 2

Derivative of (x^2 + 1)^3 is 3(x^2 + 1)^2 * 2x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to understand the concept rather than just memorizing answers in multiple-choice questions?

To get higher scores

Because memorization is not allowed

Because questions are always repeated

To apply knowledge to different problems

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