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Derivative Review
Derivative Review
33 terms
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Review of derivatives, tangent lines, and slopes
Flashcards
33 cards
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Practice quiz
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Questions
33
Answers
1
Find the derivative of 2x-5y
2
=-y at (1,1)
-7
2/9
-4
1/5
2
Find the equation of the line tangent to the function at the given point.
C
D
A
B
3
Find the equation of the tangent line.
A
B
D
C
4
The second derivative of 6x is?
6
6x
1
0
5
Find the equation of the line tangent to the function at the given point.
B
D
A
C
6
Find the points where the tangent line to the function is horizontal.
B
A
C
D
7
Find the equation of the line tangent to the function at the given point.
D
A
C
B
8
What is the position at 3 seconds for the position function modeled as x(t)=6t
2
+74t+120
0
396
6
12
9
What did you have for lunch
School Lunch
Everything
Nothing
Packed Lunch
10
Find the equation of the line tangent to the function at the given point.
A
C
B
D
11
The derivative of y=4
5x-9
is?
(ln4)45x-9(5)
e5x-9
(ln4)54x-9(5)
45x-9(5)
12
Find the derivative of the function at the given value.
C
D
B
A
13
Find the velocity equation of the position equation as a function of time: x(t)=t
2
+4t+8
v(t) = 2t
v(t) = 2
v(t) = t<span style="font-size: 13.3333px;">2+4t</span>
v(t) = 2t+4
14
What is the derivative of sin
2
(6x
3
)
36x2sin(6x3)cos(6x3)
2cos(6x3)
2sin(18x2)
2sin(6x3)
15
Find the points where the tangent line to the function is horizontal.
B
D
C
A
16
Find the points where the tangent line to the function is horizontal.
B
D
A
C
17
Find the derivative.
C
D
B
A
18
The derivative of 13x
4
is?
13x3
54x3
42x4
52x3
19
Find the points where the tangent line to the function is horizontal.
C
D
A
B
20
The derivative of g(x)=ln(4x-9) is?
(4x-9)(ln 4)
ln(4x-9)
ln(4)(4x-9)
4/(4x-9)
21
The derivative of y=sin
2
(3x) is?
2cos(3x)(3)
2sin(3x)(cos(3x))(3)
sin(cos(tan(x)))
sin2(3x)cos(3x)(3)
22
Find the derivative of the function at the given value.
A
C
D
B
23
The derivative of f(x)=sec(8x-3) is?
sec(8x-3)(8)
sec(8x)tan(8x)(8x-3)
sec(8x-3)tan(8x-3)(8x)
sec(8x-3)tan(8x-3)(8)
24
Find the acceleration of the following position equation at t=120 s: x(t)=3t
2
+8t+5
a(120)=6 m/s^2
a(120)=0 m/s^2
a(120)=120 m/s^2
a(120)=2 m/s^2
25
Find the derivative of the function at the given value.
D
B
C
A
26
The derivative of f(x)=e
3x-4
is?
3e3x-4
3xe3x-4
e3x-4
ex e3x-4
27
What is the derivative of y=xsinx...go slow...
y'=1cosx
y'=xcosx+sinx
y'=cosx+xsinx
y'=sinxcosx
28
The second derivative of h(x)=e
6x
is?
12ex
36e6x
12e6x
6e6x
29
You hit a ball, it's position: x(t)=90t-5t
2
. What's the ball's acceleration at its max height?
0 m/s^2
9 m/s^2
450 m/s^2
-10 m/s^2
30
The second derivative of y=sin x is?
six(n)
-sin(x)
-cos(x)
cos(x)
31
The derivative of a function is a ________________ calculator.
number
slope
graphing
pun
32
When does the object change direction?
Never
t=10, 15, 40
t=30
t=60
33
Find the derivative of the function at the given value.
A
B
C
D
