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Derivatives and Power Rule Concepts

Derivatives and Power Rule Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.APR.D.6

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSA.APR.D.6
The video tutorial explains how to find the derivative of functions using the power rule of differentiation. It begins by rewriting functions into a form suitable for applying the power rule. The tutorial then demonstrates the process of finding the derivatives of two functions, F(x) and G(x), by applying the power rule and simplifying the results.

Read more

6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the power rule to a function?

Add one to the exponent

Divide the coefficient by the exponent

Rewrite the function in a suitable form

Multiply the exponent by the coefficient

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the function 4 divided by X cubed rewritten using the power rule?

4x^3

4x^-3

4/x^3

4x^2

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of 4x to the power of negative three?

-12x^4

12x^4

12x^-4

-12x^-4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the derivative of 4x^-3 be expressed in a different form?

-12/x^4

12/x^4

-12x^4

12x^4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of 3x to the power of negative one half?

-3/2x^-3/2

3/2x^3/2

3/2x^-3/2

-3/2x^3/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the derivative of 3x^-1/2 be rewritten?

3/2x^3/2

-3/2x^3/2

-3/2x^-3/2

3/2x^-3/2

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