What is the derivative of a constant function?
Product and Quotient Derivatives
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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
The derivative of a constant function is zero.
2.
FLASHCARD QUESTION
Front
Find the derivative of the function: f(x) = 7.
Back
f'(x) = 0.
3.
FLASHCARD QUESTION
Front
What is the power rule for derivatives?
Back
If f(x) = x^n, then f'(x) = n*x^(n-1).
4.
FLASHCARD QUESTION
Front
Find the derivative of the function: f(x) = 4x^4 - 3x^3 - 9.
Back
f'(x) = 16x^3 - 9x^2.
5.
FLASHCARD QUESTION
Front
What is the product rule for derivatives?
Back
If u(x) and v(x) are functions, then (uv)' = u'v + uv'.
6.
FLASHCARD QUESTION
Front
Calculate the derivative of f(x) = x^2 sin(x).
Back
f'(x) = x^2 cos(x) + 2x sin(x).
7.
FLASHCARD QUESTION
Front
What is the quotient rule for derivatives?
Back
If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v^2.
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