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