# 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.

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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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