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Derivatives review Flashcards | StudBud
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Derivatives review
Derivatives review
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StudBud Administration
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An AP Calculus review on derivatives
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
What is the equation of the tangent line of the function f(x) = 3x^2 + 2 at the point (-1,5)?
y = 6x
y = -6x + 29
y = -6x - 1
y = -6x - 11
2
Where does the derivative not exist on a graph?
All Of The Above
Vertical Tangent Line
Corners and Cusps
Discontinuity
3
Find the instantaneous rate of change of the function f(x) = 6x^2 + 3x at the value of x = 2
30
27
24
21
4
Where is this graph not differentiable?
x=3
x=2
x=4
It's differentiable everywhere
5
What is the second derivative of x^4
4x^3
16x^2
12x^2
9x^2
6
What is the derivative of cos(x)?
-cos(x)?
-sin(x)
sin(x)
1/sec(x)
7
What is a derivative
Both A and B
The slope of a curve
The instantaneous rate of change
8
What is the rule shown in the image?
Product rule
Chain rule
Quotient rule
None of the above
9
What is the derivative of the function y = 6x^4 + 3x^3 - 4x^2 + 6x + 12
y' = 24x^4 + 9x^3 - 8x^2 +6x
y' = 24x^3 + 9x^2 - 8x + 6
y' = 6x^3 + 3x^2 - 4x + 6
y' = 24x^3 +9x^2 + 8x + 6
10
What is the derivative of y = 3x/(x+x^2)
y' = 3x^2/(x+x^2)^2
y' = 3x(x+x^2) / (x+x^2)^2
y' = -3x^2/(x+x^2)^2
y' = (x+x^2)(3) + (3x)(1+2x) / (x+x^2)^2
