Captain Calc's Power Rule Practice
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
Find the slope of f(x) = -3x² - 6x at x = 1.
Back
m = -12
2.
FLASHCARD QUESTION
Front
Differentiate y = 12x⁻².
Back
f'(x) = -24x⁻³
3.
FLASHCARD QUESTION
Front
If f(x) = 3∛x, find f'(x).
Back
f'(x) = x⁻²/³
4.
FLASHCARD QUESTION
Front
Find the derivative of y = 5x⁴.
Back
f'(x) = 20x³
5.
FLASHCARD QUESTION
Front
What is the derivative of y = 8x - x⁻²?
Back
y' = 8x + x⁻²
6.
FLASHCARD QUESTION
Front
Define the Power Rule in differentiation.
Back
The Power Rule states that d/dx[x^n] = n*x^(n-1).
7.
FLASHCARD QUESTION
Front
Differentiate y = x³ + 2x² - 5.
Back
f'(x) = 3x² + 4x.
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