Chain rule with radicals, how to take the derivative

Chain rule with radicals, how to take the derivative

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the derivative of a composite function using the chain rule. It begins by identifying the parent and inside functions, then applies the chain rule to find the derivative. The tutorial provides a step-by-step calculation, resulting in the final derivative expression, and discusses alternative ways to express it.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is identified as the parent function in the given context?

X to the power of 1/2

G(x)

3x

F(x)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is considered the inside function?

G(x)

F(x)

3x

X to the power of 1/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is x to the power of 1/2 expressed in the context of derivatives?

As x squared

As x to the power of 1/2

As x to the power of -1/2

As x to the power of 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the chain rule to the function?

X to the power of 1/2

F(x) times G(x)

3x - 2

1/2 times sqrt(3x - 2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is emphasized about the expression of the derivative?

It must always be simplified to the lowest terms

There are multiple ways to express it

It should be expressed as a fraction

It should always include a square root

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