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Duplicate of Basic Derivative Rules Flashcards | StudBud

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Duplicate of Basic Derivative Rules

8 terms·StudBud Administration·25 plays

Quiz over the basic derivative rules including power, product, quotient & chain rules as well as sin, cos, tan #calculus #derivatives

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Questions 8

Answers

1
Find the derivative.
f'(x) = 3x2 - 6
f'(x) = -3x
f'(x) = 0
f'(x) = 3x2 - 6x
2
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)
3
Find the average rate of change.
-3/2
3/2
1
1/2
4
Find the derivative.
f'(t) = -4/(3t3)
f'(t) = 4/(3t3)
f'(t) = (-4/3)t3
f'(t) = (4/3)t
5
Horizontal tangents?
x = 6, x = -2
x = 3
x = -6, x = 2
x = 3, x = 4
6
Find the derivative
DNE
0
pi
1
7
Find the derivative.
y' = (6x2 - 6x + 4)/(2x)
f'(x) = 2 - 4/x2
f'(x) = 2x - 3 + 4/x
f'(x) = 3x - 3 + 2/x
8
Find the derivative.
f'(x) = -1/(2x3/2) - 12x2 - 3/x2
f'(x) = x-1/2 - 12x2 + 3x-1
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
f'(x) = -1/(2x3/2) - 12x2 + 3/x2