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Duplicate of Basic Derivative Rules Flashcards | StudBud
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Duplicate of Basic Derivative Rules
Duplicate of Basic Derivative Rules
8 terms
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StudBud Administration
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Quiz over the basic derivative rules including product and quotient rules.
Flashcards
8 cards
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Questions
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Answers
1
Find the derivative.
f'(x) = x-1/2 - 12x2 + 3x-1
f'(x) = -1/(2x3/2) - 12x2 - 3/x2
f'(x) = -1/(2x3/2) - 12x2 + 3/x2
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
2
Find the derivative.
f'(t) = -4/(3t3)
f'(t) = (4/3)t
f'(t) = 4/(3t3)
f'(t) = (-4/3)t3
3
Find the derivative.
f'(x) = (-x2 - 6x + 1)/(x2 + 1)2
f'(x) = -x2 + 6x + 1
f'(x) = (-x2 + 6x + 1)/(x2 + 1)2
f'(x) = 1/(2x)
4
Find the derivative.
f'(x) = (2x2-4)/x2
f'(x) = 3x - 3 + 2/x
f'(x) = 2x - 3 + 4/x
y' = (6x2 - 6x + 4)/(2x)
5
Find the derivative.
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x1/2) - 1/(2x3/2)
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
f'(x) = 1/(2x1/2) + 1/(2x3/2)
6
Find the derivative
0
pi
DNE
1
7
Horizontal tangents?
x = -6, x = 2
x = 6, x = -2
x = 3
x = 3, x = 4
8
Find the derivative.
f'(x) = -3x
f'(x) = 0
f'(x) = 3x2 - 6
f'(x) = 3x2 - 6x