Derivatives True or False
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1.
Find the slope of the secant line between the two points shown on the graph of
f
(
x
) = cos(
x
):
-> 1
True
False
2.
Let
f
(
x
) =
x
2
– 1. Find the slope of the secant line between the points (-1,
f
(-1)) and (2,
f
(2)).
-> 1
True
False
3.
Which picture most closely resembles the limit definition of the derivative of
f
at
a
? ->
True
False
4.
The derivative of
f
(
x
) = |
x
– 1| at
x
= 1 is -> 0
True
False
5.
Let
y
=
f
(
x
) and assume
f '
(
a
) exists. Which of the following quantities must equal
f '
(
a
)? ->
True
False
6.
If
x
is measured in cookies,
y
is measured in glasses of soda, and
z
is measured in slices of cake, then
is measured in
-> slices of cake per glass of soda
True
False
7.
Use the limit definition to find the derivative of
f
(
x
) =
x
2
+
x
at
x
= 2.
->
5 +
h
True
False
8.
Use the following table to estimate the derivative of
f
at
x
= 4.
-> 0.25
True
False
9.
If
f
(1) = 12 peacocks and
f
(5) = 36 peacocks, find the average rate of change of
f
with respect to
x
on the interval from 1 to 5. The value of
x
is measured in chocolate bars. -> 6 peacocks per chocolate bar
True
False
10.
Let
f
be a function. Which of the following statements is true? -> The slope of
f
at
a
is the same thing as the derivative of
f
at
a
.
True
False
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