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Mathematics 15 Online
OpenStudy (anonymous):

PLEASE HELP ME WITH CALCULUS!!!!

OpenStudy (anonymous):

the question is....?

OpenStudy (anonymous):

MAX and MIn- f(x) = x^3/ x + 2 I= [-1,1]

OpenStudy (anonymous):

It's something like this, you need to derivate it, when the derivative equals zero, thats a maximus or minimum value of the func. So d/dx(f) = ((x+2)3x^2 + x^3)/(x+2)^2 That, equals zero, solve and check what do you get.

OpenStudy (anonymous):

\[f(x)=\frac{x^3}{x+2}\] \[f'(x)=\frac{2x^2(x+3)}{(x+2)^2}\] zeros are 0 and -3, but only 0 is in your domain

OpenStudy (anonymous):

If the second derivative, at that point, is negative, then it's a maxima

OpenStudy (anonymous):

Oh right, somethink like that

OpenStudy (anonymous):

Uhmm, look to the right and then to the left, is an inflection point

OpenStudy (anonymous):

you don't need the second derivative for this problem you are asked for a max and min on a closed interval. check \[f(-1),f(0),f(1)\] mas is the max, min is the min, that is all

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