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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 -...

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Basic Math

Use the given function, its first derivative, and its secondderivative 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 ofdecrease

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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