What is a derivative?
Basic Derivative Rules (Including Trig)

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Mathematics
•
11th Grade - University
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A derivative represents the rate at which a function is changing at any given point, specifically the slope of the tangent line to the curve of the function.
2.
FLASHCARD QUESTION
Front
What is the derivative of a constant function?
Back
The derivative of a constant function is 0.
3.
FLASHCARD QUESTION
Front
What is the power rule for derivatives?
Back
The power rule states that if y = x^n, then dy/dx = n*x^(n-1), where n is a constant.
4.
FLASHCARD QUESTION
Front
What is the derivative of y = x^4?
Back
dy/dx = 4x^3.
5.
FLASHCARD QUESTION
Front
What is the product rule for derivatives?
Back
The product rule states that if u and v are functions of x, then d(uv)/dx = u'v + uv'.
6.
FLASHCARD QUESTION
Front
Find dy/dx if y = 3x^2 + 5x - 7.
Back
dy/dx = 6x + 5.
7.
FLASHCARD QUESTION
Front
What is the derivative of sin(x)?
Back
The derivative of sin(x) is cos(x).
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