Derivatives
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a derivative?
Back
A derivative represents the rate at which a function is changing at any given point, essentially the slope of the tangent line to the curve of the function.
2.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = x^3 + x^2 + 3.
Back
3x^2 + 2x
3.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = -4x.
Back
-4
4.
FLASHCARD QUESTION
Front
What do we find when we take the derivative of a function?
Back
The slope of the tangent line.
5.
FLASHCARD QUESTION
Front
Find the derivative of y = 2x^2 (3x - 4).
Back
18x^2 - 16x
6.
FLASHCARD QUESTION
Front
What is the derivative of e^x?
Back
e^x
7.
FLASHCARD QUESTION
Front
What is the power rule for derivatives?
Back
If f(x) = x^n, then f'(x) = n*x^(n-1).
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