Find the derivative of chain rule using charts

Find the derivative of chain rule using charts

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the derivative of a composition of functions using the chain rule. It begins with an introduction to the concept, followed by a detailed application of the chain rule to the function F(G(x)). The tutorial then evaluates G(5) and calculates F' at G(5), leading to the final result. The session concludes with a quick review of the steps involved in the calculation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main rule used to find the derivative of a composition of functions?

Power Rule

Chain Rule

Quotient Rule

Product Rule

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression F(G(x)), what is the first step in applying the chain rule?

Find G(x)

Find F'(G(x))

Find G'(x)

Find F'(x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of G(5) in the given example?

5

-2

2

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of F'(-2) in the example?

-1

1

0

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the derivative calculation in the example?

10

-10

5

-5