Chain Rule
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Wayground Content
Used 1+ times
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Chain Rule in calculus?
Back
The Chain Rule is a formula for computing the derivative of the composition of two or more functions. It states that if you have a function y = f(g(x)), then the derivative y' = f'(g(x)) * g'(x).
2.
FLASHCARD QUESTION
Front
Differentiate f(x) = (x^3 - 2x)^2
Back
f'(x) = 6x^5 - 16x^3 + 8x.
3.
FLASHCARD QUESTION
Front
Differentiate f(x) = (x^6 + 4)^5
Back
f'(x) = 30x^5(x^6 + 4)^4.
4.
FLASHCARD QUESTION
Front
Differentiate y = (2x + 1)^{10}
Back
y' = 20(2x + 1)^9.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the derivative of a constant?
Back
The derivative of a constant is 0.
6.
FLASHCARD QUESTION
Front
If f(x) = g(x)h(x), what is the product rule?
Back
The product rule states that (fg)' = f'g + fg'.
7.
FLASHCARD QUESTION
Front
If f(x) = g(h(x)), what is the formula for the Chain Rule?
Back
The Chain Rule states that f'(x) = g'(h(x)) * h'(x).
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