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Calculus Midterm Review (Derivatives) Flashcards | StudBud
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Calculus Midterm Review (Derivatives)
Find dy/dx.
What is f '''(x)?
Calculus Midterm Review (Derivatives)
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Derivatives
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Answers
1
What is f '''(x)?
cosx
sinx
6-cosx
6+cosx
2
Find dy/dx.
4x
7(2x2 + 5)6
4x(2x2 + 5)6
28x(2x2 + 5)6
3
The instantaneous rate of change at a point in time is the slope of the _______ line.
curved
tangent
secant
normal
4
What is the slope of the normal line to the function at x=1?
2
1/2
-2
-1/2
5
Let f(5) = 7, f '(5) = -3, g(5) = 2, g'(5) = 6 and h(x) = f(x) ⋅ g(x). What is h'(5)?
48
-48
36
-36
6
What is f ''(x)?
6+cosx
cosx
6-cosx
sinx
7
Find y'.
4ln4x
4
4/x
1/x
8
What is the slope of the tangent line to the function at x=1?
2
-2
0
4x3 - 2
9
Let f(5) = 7, f '(5) = -3, g(5) = 2, g'(5) = 6 and h(x) = 4f(x). What is h'(5)?
-28
12
28
-12
10
What is f '(x)?
6-cosx
6+cosx
cosx
sinx
11
Find dy/dx.
2(cos4x)(sin4x)-1/2
2(cos4x)
2(sin4x)-1/2
4(cos4x)(sin4x)-1/2
12
Find dy/dx.
4ex
e4x
4e4x
4
13
Find y'.
-3/(x2 + 1)
(x2 - 1)(x2 + 1)2
-3(x2 - 1)(x2 + 1)2
-3(x2 - 1)(x2 + 1)-2
14
Acceleration is the second derivative of what?
position
itself
speed
velocity
15
Find dydx.
-2xy
x/y
-x/y
-2x/y
16
The average rate of change over an interval of time is the slope of the _______ line.
curved
secant
normal
tangent
17
Find dy/dx.
x/y
y/x
-x/y
-y/x
18
Find dy/dx.
(2x + 3cosx)/siny
(2x + 3sinx)/cosy
(2x - 3cosx)/siny
(2x - 3sinx)/cosy
19
Find y'.
(2x3 + 3x2)e2x
2x3 + 3x2
2x3e2x
3x2e2x
