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calculus derivatives Flashcards | StudBud
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calculus derivatives
calculus derivatives
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Answers
1
Suppose that y = x
2
+x . Find the average rate of change of
y
with respect to over the interval [0, 4].
-7.333
7.333
5
20
2
Given y = x
2
+x . When does average rate of change = instantaneous rate of change on interval [0,5]?
6
5/2
5
4
3
At what point is the tangent to y = x
2
+ 4x + 3 horizontal?
never
(-2 , 0)
x = -2
(-2 , -1)
4
Find the derivative.
B
C
A
D
5
At t seconds after lift-off, the height of a rocket is 3t
2
ft. How fast is the rocket climbing after 10 sec?
300 ft
300 ft/sec
60 ft
60ft/sec
6
Derivative Problem
D
A
B
C
7
Find the tangent to the curve y = x
3
+ x on [0, 10] at the point where the slope is 4.
y - 4 = 4(x - 1)
y + 2 = 4(x+1)
y - 2 = 4(x - 1)
y - 2 = 4(x + 1)
8
Derivative Problem
D
C
A
B
9
Derivative Problem
D
B
A
C
10
Find the points on the curve y = 2x
3
-3x
2
-12x + 20 where the tangent is parallel to the x-axis.
(-1, 27) and (2,0)
(-1, 27) only
(2,0) only
(-2.5, 0) and (2, 0)
11
Suppose that y = x
2
+x . Find the instantaneous rate of change of
y
with respect to
x
at x = 1.
not this answer
2
3
5/6
12
Find the Derivative
D
B
C
A
13
Derivative!
A
B
D
C
14
If g(x) = |x|, which of the following are true statements?
I and II only
I, II, and III are correct
I only
I and III only
