Calculus(derivatives):
show your work !
find the minimum and maximum points of f(x)=x^3+x^2-5x-2.

Critical points occur when , which happens for and .

Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (), then a maximum occurs; if it's convex (), then a minimum occurs.

You have



and so




This means a maximum of and a minimum of .

The answer is the third choice

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