Derivatives - Product Rule and Trig Derivatives
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Product Rule for derivatives?
Back
If u(x) and v(x) are functions, then the derivative of their product is given by: (u*v)' = u'v + uv'.
2.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = (x - 1)(x + 2) using the Product Rule.
Back
f'(x) = (1)(x + 2) + (x - 1)(1) = 2x + 1.
3.
FLASHCARD QUESTION
Front
What is the derivative of sin(x)?
Back
The derivative of sin(x) is cos(x).
4.
FLASHCARD QUESTION
Front
What is the derivative of cos(x)?
Back
The derivative of cos(x) is -sin(x).
5.
FLASHCARD QUESTION
Front
What is the derivative of tan(x)?
Back
The derivative of tan(x) is sec²(x).
6.
FLASHCARD QUESTION
Front
What is the derivative of cot(x)?
Back
The derivative of cot(x) is -csc²(x).
7.
FLASHCARD QUESTION
Front
What is the derivative of sec(x)?
Back
The derivative of sec(x) is sec(x)tan(x).
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