Derivatives of Trig Functions (No Chain Rule)

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = -2cos(x)?
Back
f'(x) = 2sin(x)
2.
FLASHCARD QUESTION
Front
What is the derivative of cot(x)?
Back
f'(x) = -csc^2(x)
3.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = x^4 cos(x).
Back
f'(x) = x^4 (-sin(x)) + 4x^3 cos(x) = 4x^3 cos(x) - x^4 sin(x)
4.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = tan(x) cos(x).
Back
f'(x) = sec^2(x) cos(x) - tan(x) sin(x)
5.
FLASHCARD QUESTION
Front
Find the derivative of y = 3x^2 - 4 csc(x) + 2.
Back
y' = 6x + 4 csc(x) cot(x)
6.
FLASHCARD QUESTION
Front
What is the derivative of sin(x)?
Back
f'(x) = cos(x)
7.
FLASHCARD QUESTION
Front
What is the derivative of cos(x)?
Back
f'(x) = -sin(x)
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