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Derivative
Derivative
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Limits and Derivatives Test Review for Honors Pre Calculus
Flashcards
19 cards
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Practice quiz
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Questions
19
Answers
1
Given s(t), find its max height.
196
588
112
336
2
Given f(x)=2x
2
-4x and f'(x)=4x-4, find equation of the tangent line when x=-1.
y+2=-8(x+1)
y+6=-8(x-1)
y-6=-8(x+1)
y-2=-8(x+1)
3
Given f(x)=2x
2
-4x, find the derivative.
4x-4
4x-8
-2x+4
2x-4
4
Find the derivative of the following function:
12/x4
-12x-4
12x-4
-12/x4
5
Which of the following is NOT the average rate of change of a function f(x)?
[f(b) - f(a)]/ (b-a)
Slope of the secant line
Slope of the tangent line
[f(x+h) - f(x)]/ (h)
6
Find the derivative of the following function:
-4x
-4√x
-4/√x
4/√x
7
Given f(x)=2x
2
-4x and f'(x)=4x-4, find the slope of the tangent line when x=-1.
0
-16
8
-8
8
Find the derivative of the following function:
16x3+4x
8x3+4x -7
16x3+4x -7
8x3+4x
9
Given s(t), find when it's at its max height.
4s
4.5s
3s
3.5s
10
Find the derivative of the following function:
3√x
3/√x
-3/√x
-3√x
11
Find the derivative of the following function:
4x-3
-4x-3
-4/x3
4/x3
12
Given f(x)=2x
2
-4x and f'(x)=4x-4, find equation of the tangent line when x=-1.
y=-8x+2
y=-8x-2
y=-8x-14
y=8x-2
13
Given s(t), find its velocity when it hits the ground.
-56
0
-112
112
14
Given s(t) that represents the path of a projectile, find the instantaneous velocity when t=2.
176
-48
48
160
15
Find the average rate of change of f(x)=3x
2
-4 between 0 and 3.
-19/3
27/3
-27/3
19/3
16
Given f(x)=√(x-5)+4, find the slope of the tangent line when x=9.
1/8
1/6
1/2
1/4
17
Given s(t), find the instantaneous velocity when it's at its max height.
32
0
112
-32
18
Given f(x)=√(x-5)+4, find the equation of the tangent line when x=9.
y-8=1/4(x-9)
y+6=1/4(x+9)
y-6=1/4(x-9)
y+8=1/4(x+9)
19
Given s(t), find when it hits the ground.
5s
8s
7s
6s
