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AP Calculus Derivatives Flashcards | StudBud
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AP Calculus Derivatives
AP Calculus Derivatives
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CH 2
Flashcards
19 cards
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Questions
19
Answers
1
What is the derivative of f(x)?
0
2
Undefined
-1
2
The derivative is represented on a graph by
the slope of a secant line through 2 points
the slope of a tangent line at 2 points
the slope of a tangent line at 1 point
the slope of a secant line through 1 point
3
If f(x)= sin(x), then the second derivative of f(x) at any point (x,f(x)) is
sin(x)
-sin(x)
cos(x)
-cos(x)
4
If f(x)= sin(x), then the derivative of f(x) at any point (x,f(x)) is
-cos(x)
-sin(x)
sin(x)
cos(x)
5
What is dy/dx at x = 1?
Undefined
0
4
1
6
If A(r)=πr
2
where A is the area of a circle as a function of the radius, then d/dt of A(r) is
Undefined
2πr⋅(dr/dt)
(dr/dt)
2πr
7
What is dy/dx when x = 0?
0
Undefined
5
-5
8
If f(x)= sin(x), then the fourth derivative of f(x) at any point (x,f(x)) is
sin(x)
cos(x)
-sin(x)
-cos(x)
9
If f(x)= tan(x), then the derivative of f(x) at any point (x,f(x)) is
sec2(x)
sec(x)tan(x)
csc(x)
sec(x)
10
If f and g are differentiable functions, then the d/dx g(f(x)) at x=4 is
-4/5
-1/3
4/15
12/5
11
If f(x)= 2x
3
, then the derivative of f(x) at any point (x,f(x)) is
3x2
6x2
5x2
6x
12
The dk/dx at x=0 is
1/3
-2/3
undefined
0
13
Which has a parent function that is
continuous
but
not differentiable
on its domain
tangent
absolute value
quadratic
exponential
14
If f and g are differentiable functions, then the d/dx f(g(x)) is
g'(x)⋅f'(g(x))
f'g+f⋅g'
g'(x)⋅f'(x)
f'(x)⋅g'(x)
15
If f(x)= π, then the derivative of f(x) at any point (x,f(x)) is
Undefined
π
0
1
16
If f and g are differentiable functions, then the d/dx (f⋅g) is
f'g+f⋅g'
f'⋅g'
f'+g'
fg+f'⋅g'
17
If f(x)= sin(x), then the third derivative of f(x) at any point (x,f(x)) is
-cos(x)
-sin(x)
cos(x)
sin(x)
18
What is dy/dx when x = 0?
0
2
-2
4
19
If f(x)= 1/x, then the derivative of f(x) at any point (x,f(x)) is
-1/x2
1/x2
Undefined
0
