Trig Derivatives (Delehant)

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = x^4 cos(x)?
Back
f'(x) = x^4 cos(x) + 4x^3 sin(x)
2.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = x^2 sin(x)?
Back
f'(x) = 2x sin(x) + x^2 cos(x)
3.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = tan(x) cos(x)?
Back
f'(x) = sec^2(x) cos(x) - tan(x) sin(x)
4.
FLASHCARD QUESTION
Front
What does it mean to take the derivative of a function?
Back
It means finding the slope of the tangent line to the function at a given point.
5.
FLASHCARD QUESTION
Front
What is the product rule for derivatives?
Back
If u and v are functions of x, then (uv)' = u'v + uv'.
6.
FLASHCARD QUESTION
Front
What is the chain rule for derivatives?
Back
If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).
7.
FLASHCARD QUESTION
Front
What is the derivative of sin(x)?
Back
The derivative of sin(x) is cos(x).
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