Question: Consider the function f(x)=x3-5x+2on the interval -2,3. Find the x-values for which f(x) hasa local maximum and minimum, and the x-values for which f(x) has

Consider the function f(x)=x3-5x+2on the interval -2,3. Find the x-values for which f(x) hasa local maximum and minimum, and the x-values for which f(x) has a global maximum. Please rememberyou are NOT permitted to use a graphing calculator for this question, but you may use a simple calculatorfor computing particular values off(x).(a) Determine the x-values for all local maximums and minimums(b) Determine the x-values for all inflection points(c) Determine the global maximum and minimum for f(x)on-2,3.

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