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Chapter 2 Derivatives Review (AP Calculus) Flashcards | StudBud
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Chapter 2 Derivatives Review (AP Calculus)
Chapter 2 Derivatives Review (AP Calculus)
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Differentiation Review - Rules, Product, Quotient, Chain, etc
Flashcards
15 cards
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Practice quiz
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Questions
15
Answers
1
Find f'(x)
D
B
A
C
2
Slope of tangent line for x^4-x^2y+y^4=1 at (1, 1)?
\frac{2}{3}
\frac{-2}{3}
\frac{-2}{5}
-1
3
Find dy/dx
B
D
C
A
4
Find y'(1)
D
A
C
B
5
Continuity implies differentiability.
False
True
6
Find dy/dx
B
A
C
D
7
Find the equation of the tangent line at x=-2
A
D
B
C
8
Find dy/dx
A
B
D
C
9
Find \frac{dy}{dx} for y=\arcsin(x^2).
\frac{2x}{\sqrt{1-x^2}}
\frac{2x}{\sqrt{1-x^4}}
\frac{2x}{\sqrt{1-4x^2}}
\frac{2x}{\left|x\right|\sqrt{1-x^4}}
10
find d
2
y/dx
2
at x=1
A
C
B
D
11
Find dy/dx
C
D
B
A
12
Which of the following are true about the derivative?
A derivative tells us the instantaneous rate of change
f'\left(x\right)=\frac{f\left(x+Δx\right)-f\left(x\right)}{Δx}
A derivative will yield the slope of a tangent line
A derivative is a limit
13
\frac{d}{dx}(\cot x)=-\csc^2x
False
True
14
Find g'(9)
D
B
C
A
15
Find f''
A
C
B
D
