Derivatives (Power Rule)
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Power Rule for derivatives?
Back
The Power Rule states that if f(x) = x^n, then the derivative f'(x) = n*x^(n-1).
2.
FLASHCARD QUESTION
Front
Differentiate y = 4x^3 + 3x + 1.
Back
dy/dx = 12x^2 + 3.
3.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = 1 - x^2.
Back
f'(x) = -2x.
4.
FLASHCARD QUESTION
Front
Differentiate f(x) = x^4.
Back
f'(x) = 4x^3.
5.
FLASHCARD QUESTION
Front
Differentiate y = \frac{2x^2 + x - 3}{x}.
Back
y' = 2 + 3x^{-2}.
6.
FLASHCARD QUESTION
Front
What is the derivative of a constant?
Back
The derivative of a constant is 0.
7.
FLASHCARD QUESTION
Front
Differentiate f(x) = 5x^7.
Back
f'(x) = 35x^6.
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