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Part 2 of Duplicate of Basic Derivative Rules Flashcards | StudBud

Explore/Part 2 of Duplicate of Basic Derivative Rules

Part 2 of Duplicate of Basic Derivative Rules

7 terms·StudBud Administration·26 plays

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

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Questions 7

Answers

1
Find the average rate of change.
1
3/2
1/2
-3/2
2
Find the derivative.
y' = (2x)(x2 - 1)2(4x2 - 1)]
Nope
y' = 12x2(x2 - 1)2
y' = (x2 - 1)2[2x(x2 - 1) + 3x2]
3
Find the derivative.
f'(x) = -3x2/[2(1 - x3)1/2]
f'(x) = (1-x3)1/2
f'(x) = (1/2)/(1 - x3)1/2
f'(x) = sqr(-3x2)
4
Horizontal tangents?
x = 3, x = 4
x = 6, x = -2
x = 3
x = -6, x = 2
5
Find the derivative.
f'(x) = (-x2 + 6x + 1)/(x2 + 1)2
f'(x) = 1/(2x)
f'(x) = (-x2 - 6x + 1)/(x2 + 1)2
f'(x) = -x2 + 6x + 1
6
Find the derivative.
f'(x) = 3x2 - 6x
f'(x) = 0
f'(x) = 3x2 - 6
f'(x) = -3x
7
Find the equation of the tangent line.
vertical line
y = 0
y = πx
y = 1