Chain Rule Differentiation
Flashcard
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Chain Rule in differentiation?
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) = 7(3x + 4)^5
Back
f'(x) = 105(3x + 4)^4.
3.
FLASHCARD QUESTION
Front
Differentiate f(x) = (x^3 - 2x)^2
Back
f'(x) = 6x^5 - 16x^3 + 8x.
4.
FLASHCARD QUESTION
Front
Differentiate f(x) = (x^2 + 1)^6
Back
f'(x) = 12x(x^2 + 1)^5.
5.
FLASHCARD QUESTION
Front
Differentiate y = (2x + 1)^10
Back
y' = 20(2x + 1)^9.
6.
FLASHCARD QUESTION
Front
Differentiate f(x) = (9 - 4x^2)^-1
Back
f'(x) = 8x/(9 - 4x^2)^2.
7.
FLASHCARD QUESTION
Front
What is the derivative of a constant function?
Back
The derivative of a constant function is zero.
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