Given the derivative of f(x), f '(x) = x^3 + 2x^2 + 8x + 8,
a) Use your calculator to determine one x value where f(x) has a relative extrema. Your value should be correct to 3 decimal places.

b) Classify the x value as a relative maximum or minimum.
Justify your answer in a complete sentence.

Question

Given the derivative of f(x), f '(x) = x^3 + 2x^2 + 8x + 8, 
a) Use your calculator to determine one x value where f(x) has a relative extrema. Your value should be correct to 3 decimal places. 

b) Classify the x value as a relative maximum or minimum. 
Justify your answer in a complete sentence.

precal · Answer

you need to locate your zeros for the derivative

anonymous · Answer

im confused on how to find the extrema

precal · Answer

extrema are where your min and max points occur, also where the derivative is undefined

beginnersmind · Answer

"im confused on how to find the extrema"

do you mean you're confused how to solve:

x^3 + 2x^2 + 8x + 8 = 0 ?

anonymous · Answer

no

anonymous · Answer

i know what they are but how do you find them?