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Graphing from the derivative

Please sketch a graph of a function f have the indicated characteristics. Please explain.

(a) f(0) = f(2) = 0

f'(x) > 0 if x <1

f'(1) = 0

f'(x) < 0 if x > 1

f''(x) < 0

(b) f(0) = f(2) = 0

f'(x) < 0 if x < 1

f'(1) = 0

f'(x) > 0 if x > 1

f''(x) > 0

Solution Summary

This shows how to sketch graphs with the given characteristics of the derivative.

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