calculus power rule
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is the Power Rule in calculus?
Back
The Power Rule states that if \( f(x) = x^n \), then the derivative \( f'(x) = n \cdot x^{n-1} \).
2.
FLASHCARD QUESTION
Front
Differentiate \( y = x^5 \) using the Power Rule.
Back
\( y' = 5x^{4} \) (Applying the Power Rule).
3.
FLASHCARD QUESTION
Front
Differentiate \( y = 7x^3 \) using the Power Rule.
Back
\( y' = 21x^{2} \) (Applying the Power Rule).
4.
FLASHCARD QUESTION
Front
Differentiate \( y = 12x^{-2} \) using the Power Rule.
Back
\( y' = -24x^{-3} \) (Applying the Power Rule).
5.
FLASHCARD QUESTION
Front
What is the derivative of a constant function?
Back
The derivative of a constant function is 0.
6.
FLASHCARD QUESTION
Front
Differentiate \( y = 2\pi \).
Back
\( y' = 0 \) (The derivative of a constant is 0).
7.
FLASHCARD QUESTION
Front
Differentiate \( y = 5x^4 \).
Back
\( y' = 20x^{3} \) (Applying the Power Rule).
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