Use the given graph to estimate the value of each derivative.(Round
all answers to one decimal place.)

Graph uploaded below. I do notunderstand how to
find these answers. Please help!

(a)

1

*f '*(0)1

(b) *f '* (1)

2

(c) *f '* (2)

3

(d) *f '* (3)

4

(e) *f '* (4)

5

(f) *f '* (5)

6

## Answer

Find the slope f (0) y- fir) Rise -3 Run Slope of the curve at x 0 is Rise 33. Run1 Find the slope )

y-fix) Slope 0 0 The curve has horizontal tangent line at x-1 so the slope is zero at x-1. Slope of the curve at x 1is f (1) 0 Find the slope (2) y fir) Rise Run 1.5 0

Slope of the curve at x 2 is (2)-Rise 2 4 Run .53 1.3 Find the slope f (3). Run Rise 0 Slope of the curve at x (3) = Rise = 2 : 3 is Run 1

Find the slope f (4). Slope 0 y=f(x) .1 The curve has horizontal tangent line at x = 4 so the slope is zero at x = 4. Slope of the curve at x=4 is f"(4)-0. Find the slope f (5)

Run 1.5 y = f(x) Rise ,갸 .r 0 Slope of the curve at x 5 is Rise-1.5 (5)= ==- Run 1. f,(5)--=-1.5= 1.

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