Find the derivative of f(x) = x^4 cos(x) - 4x^3 sin(x)
Calculus AB Review
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Mathematics
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12th Grade
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Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
f'(x) = x^4 cos(x) + 4x^3 sin(x)
2.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = x^3 + x^2 + 3
Back
f'(x) = 3x^2 + 2x
3.
FLASHCARD QUESTION
Front
d/dx (sin^2(x)) = ?
Back
2(sin(x))(cos(x))
4.
FLASHCARD QUESTION
Front
What is the derivative of cos(x)?
Back
-sin(x)
5.
FLASHCARD QUESTION
Front
Find h'(3) if h(x) = x^2 - 3x + 4
Back
h'(3) = 1
6.
FLASHCARD QUESTION
Front
What is the Power Rule for derivatives?
Back
If f(x) = x^n, then f'(x) = n*x^(n-1).
7.
FLASHCARD QUESTION
Front
What is the Product Rule for derivatives?
Back
If u(x) and v(x) are functions, then (uv)' = u'v + uv'.
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