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Use the given function, its first derivative, and its second derivative to answer the following: f(x)=(1/3)x^3...

Use the given function, its first derivative, and its second derivative to answer the following:

f(x)=(1/3)x^3 - (1/2)x^2 - 6x + 5

f'(x)= x^2 - x - 6 = (x+2)(x-3)

f''(x)= 2x - 1

a) What are the intervals of increase and the intervals of decrease

b) Identify local min and max points

c) What are the intervals where the function is concave up, concave down and identify the inflection points

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