AB Derivatives Review

Flashcard
•
Mathematics
•
11th Grade - University
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the second derivative of f(x) = x² + e^x - cos(x)?
Back
f''(x) = 2 + e^x + cos(x)
2.
FLASHCARD QUESTION
Front
If a function has a derivative that is negative, what does that tell you?
Back
The function is decreasing.
3.
FLASHCARD QUESTION
Front
Find the derivative of y = 5x²e^(3x).
Back
y' = 5xe^(3x)(3x + 2)
4.
FLASHCARD QUESTION
Front
Differentiate y = 12x^(-2).
Back
y' = -24x^(-3)
5.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = x^4 + 4x³ - 2x².
Back
f'(x) = 4x³ + 12x² - 4x
6.
FLASHCARD QUESTION
Front
What does the first derivative of a function represent?
Back
The first derivative represents the rate of change or the slope of the function.
7.
FLASHCARD QUESTION
Front
What is the product rule for differentiation?
Back
If u and v are functions of x, then (uv)' = u'v + uv'.
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