
Calculus Derivatives and Rules
Interactive Video
•
Mathematics
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10th - 12th Grade
•
Practice Problem
•
Hard
Ethan Morris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying the chain rule to a composite function?
Differentiate the inside function
Multiply the functions
Add the functions
Differentiate the outside function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the chain rule with the power rule, what do you do after bringing the exponent to the front?
Subtract the exponent by two
Divide by the exponent
Multiply by the derivative of the inside function
Add the exponent by one
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of cosine x^2 using the chain rule?
x cos x^2
-x sin x^2
2x cos x^2
-2x sin x^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle the derivative of a function like tangent X CU using the chain rule?
Differentiate the inside function first
Differentiate the outside function first
Add the derivatives
Subtract the derivatives
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the product rule, what is the next step after differentiating the first part of the function?
Differentiate the second part
Subtract the derivatives
Keep the second part the same
Add the derivatives
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x Cub * 4x + 5 raised to the 4th power using the product rule?
28x + 15
x^2 * 4x + 5^3
16x^3 * 4x + 5^3
3x^2 * 4x + 5^4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the quotient rule, what is the formula used?
f * g' - g * f' / g^2
g' * f - g * f' / f^2
g * f' - f * g' / g^2
f' * g - f * g' / g^2
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