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Chain Rule and Derivatives

Chain Rule and Derivatives

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to differentiate functions using the chain rule, focusing on examples involving sine functions. It covers the differentiation of sine of 2x, sine of x squared, and sine squared of X, providing step-by-step guidance. A bonus example demonstrates the differentiation of sine squared of ln x, applying the chain rule multiple times. The tutorial concludes with a summary and an invitation for questions.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Graphing trigonometric functions

Integrating complex functions

Differentiating simple functions using the chain rule

Solving algebraic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which functions are being differentiated in the video?

Cosine of 2x, cosine of x squared, and cosine squared of X

Exponential of 2x, exponential of x squared, and exponential squared of X

Sine of 2x, sine of x squared, and sine squared of X

Tangent of 2x, tangent of x squared, and tangent squared of X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of the outside function when differentiating sine of 2x?

Secant

Cosine

Sine

Tangent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of the inside function in sine of 2x?

0

1

x

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final derivative of sine of 2x?

2 cosine of 2x

2 sine of x

sine of 2x

cosine of x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the derivative of sine of x squared, what is the outside function?

Tangent

Exponential

Cosine

Sine

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of the inside function in sine of x squared?

0

2x

1

x

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