What is the Power Rule used for in calculus?

Understanding Derivatives Using the Power Rule

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Finding the integral of a function
Determining the derivative of a function
Calculating the limit of a function
Solving differential equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the cube root of x squared in rational exponent form?
x to the power of 2/3
x to the power of 3
x to the power of 1/3
x to the power of 3/2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the derivative of 9 times the square root of x?
Differentiate with respect to y
Use the chain rule
Rewrite the function in rational exponent form
Apply the Power Rule directly
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After applying the Power Rule to 9x^(1/2), what is the next step?
Multiply by the original function
Convert the negative exponent to a positive one
Leave the derivative as is
Add a constant to the derivative
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the derivative of 9 times the square root of x?
9/2 times the square root of x
9 times x to the power of -1/2
9/2 times x to the power of 1/2
9 times the square root of x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function 15x^(2/5) initially rewritten?
In rational exponent form
As a square root
As a logarithmic function
Using the chain rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 15x^(2/5) after applying the Power Rule?
15x^(3/5)
15x^(-3/5)
6x^(3/5)
6x^(-3/5)
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