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