# fore, for all values of X,We have seen that one apthe motion of objects usingtion of second derivatives ininformation about the shapehigher derivatives enable us2.8EXERCISES1-2 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)YA11

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See image below. help_outlineImage Transcriptionclosefore, 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 fullscreen
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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]

Step 2

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

Step 3

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

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### Calculus 