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Basic Derivative Rules Flashcards | StudBud

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Basic Derivative Rules

10 terms·StudBud Administration

Quiz over the basic derivative rules including power, product, & quotient rules as well as y=sin(x) and y=cos(x)

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Questions 10

Answers

1
Find the derivative.
f'(t) = 3t2cos(t) - t3sin(t)
f'(t) = 3t2cos(t) + t3sin(t)
f'(t) = -3t2cos(t) + t3sin(t)
f'(t) = -3t2sin(t)
2
Find the derivative.
f'(t) = (4/3)t
f'(t) = 4/(3t3)
f'(t) = (-4/3)t3
f'(t) = -4/(3t3)
3
Find the derivative.
f'(x) = 0
f'(x) = 3x2 - 6x
f'(x) = -3x
f'(x) = 3x2 - 6
4
Find the derivative.
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
f'(x) = x-1/2 - 12x2 + 3x-1
f'(x) = -1/(2x3/2) - 12x2 + 3/x2
f'(x) = -1/(2x3/2) - 12x2 - 3/x2
5
Find the derivative.
f'(x) = 1/(2x1/2) - 1/(2x3/2)
f'(x) = (1/2)x - (-1/2)x
f'(x) = 1/(2x)1/2 + 1/(2x)3/2
f'(x) = 1/(2x1/2) + 1/(2x3/2)
6
Find the derivative.
f'(t) = 3cos(t) - (1/4)sin(t)
f'(t) = -3sin(t) - (1/4)cos(t)
f'(t) = 3sin(t) + (1/4)cos(t)
f'(t) = -3cos(t) + (1/4)sin(t)
7
Find the derivative.
f'(x) = (-x2 - 6x + 1)/(x2 + 1)2
f'(x) = 1/(2x)
f'(x) = -x2 + 6x + 1
f'(x) = (-x2 + 6x + 1)/(x2 + 1)2
8
Find the derivative.
f'(x) = 2x - 3 + 4/x
f'(x) = 3x - 3 + 2/x
f'(x) = 2 - 4/x2
y' = (6x2 - 6x + 4)/(2x)
9
Find the derivative
0
pi
1
DNE
10
Horizontal tangents?
x = 6, x = -2
x = 3
x = 3, x = 4
x = -6, x = 2