Question
Asked Jan 30, 2020
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fore, for all values of X,
We have seen that one ap
the motion of objects using
tion of second derivatives in
information about the shape
higher derivatives enable us
2.8
EXERCISES
1-2 Use the given graph to estimate the value of each derivative.
Then sketch the graph of f'.
1. (a) f'(-3)
(b) f'(-2)
(f) f'(2)
(c) f'(-1)
(g) f'(3)
(d) f'(0)
(e) f'(1)
YA
1
1
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fore, for all values of X, We have seen that one ap the motion of objects using tion of second derivatives in information about the shape higher derivatives enable us 2.8 EXERCISES 1-2 Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. 1. (a) f'(-3) (b) f'(-2) (f) f'(2) (c) f'(-1) (g) f'(3) (d) f'(0) (e) f'(1) YA 1 1

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

f ' (x) means slope of f(x) at x. 

a) f'(-3) is slope of f(x) at x=-3.

We will consider the line joining (-2,-2) and (-4, -5/3) 

[ Got 5/3 using 1 + 2/3 , because the upper part of the box looks like 2/3 units]

Calculus homework question answer, step 1, image 1
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Step 2

Then we find the slope between (-2,-2) and (-4,-5/3)

Calculus homework question answer, step 2, image 1
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Step 3

b) There is a local minimum at x=-2, this means x=2 is a critic...

Calculus homework question answer, step 3, image 1
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Calculus