AB Derivatives Review
Flashcard
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = tan(x)cos(x)?
Back
f'(x) = sec²(x)cos(x) - tan(x)sin(x)
2.
FLASHCARD QUESTION
Front
Derive y = (x + 2)/(x - 3).
Back
((x - 3) - (x + 2))/(x - 3)²
3.
FLASHCARD QUESTION
Front
What is the derivative of sin(x)?
Back
cos(x)
4.
FLASHCARD QUESTION
Front
What is the derivative of tan(x)?
Back
sec²(x)
5.
FLASHCARD QUESTION
Front
Which of the following is not a correct notation for 'derivative'?
Back
dy
6.
FLASHCARD QUESTION
Front
What is the product rule for derivatives?
Back
If u and v are functions of x, then (uv)' = u'v + uv'.
7.
FLASHCARD QUESTION
Front
What is the quotient rule for derivatives?
Back
If u and v are functions of x, then (u/v)' = (u'v - uv')/v².
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