Question: Given the functionf(x)=x^3+3x^29x+5 over the interval7x2 , answer the following questions. (a) Findf(x)andf(x). f(x)= f(x)= (b) Find the critical points off. Enter the exact answers

Given the functionf(x)=x^3+3x^29x+5 over the interval7x2 , answer the following questions.

(a)Findf(x)andf(x).

f(x)=

f(x)=

(b)Find the critical points off.

Enter the exact answers in increasing order.

x1=

x2=

(c)Find any inflection points off.

Enter the exact answer.

x=

(d)Evaluatefat its critical points and at the endpoints of the given interval. Identify the type of critical points.

Enter the exact answers.

f(x1)=

f(x2)=

f(7)=

f(2)=

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