Question: In Problems below , a function and its graph are given. 1. 2. (a) From the graph, estimate where f ''(x) Ë 0, where f

In Problems below , a function and its graph are given.
1.
f(x) = -x* +x² + &x – 12 25 -10 10 -25

2.

f(x) = }x³ + 2x? – 12x – 20 60 -12 -40

(a) From the graph, estimate where f ''(x) ˃ 0, where f ''(x) ˂ 0, and where f ''(x)=0.
(b) Use (a) to decide where f '(x) has its relative maxima and relative minima.
(c) Verify your results in parts (a) and (b) by finding f '(x) and f ''(x) and then graphing each
with a graphing utility.

f(x) = -x* +x + &x 12 25 -10 10 -25 f(x) = }x + 2x? 12x 20 60 -12 -40

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