How to take the derivative using the chain rule twice

How to take the derivative using the chain rule twice

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression discussed in the introduction section?

Cosecant of two X two X + 3 raised to the 4th

Secant of X + 3 raised to the 4th

Tangent of two X + 3 raised to the 4th

Cotangent of X + 3 raised to the 4th

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is primarily used to find the derivative of a function within another function?

Power Rule

Product Rule

Quotient Rule

Chain Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of G(x) in the context of the chain rule?

6 times two X + 3 ^3

2 times two X + 3 ^3

8 times two X + 3 ^3

4 times two X + 3 ^3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the final section, what is the expression for Y' after applying the derivatives?

8 times cosecant of two X + 3

4 times cosecant of two X + 3

Negative 8 times cosecant of two X + 3

Negative 4 times cosecant of two X + 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the chain rule in the final section?

To simplify the expression

To find the derivative of a product

To calculate the derivative of a composite function

To integrate the function