For the function f(x)=x^5+4x^3-16x over the interval [-3,3] I got f '(x)=5x^4+12x^2-16 and using the quadratic formula came up with critical points of plus and minus .977 .
How do I now use this information to find the local (relative) endpoint, and absolute maximums and minimums?

And then, using the endpoints of the domain and the critical points, how do I divide the domain into sub-intervals and determine which is increasing or decreasing and determine concavity?

Question

For the function f(x)=x^5+4x^3-16x over the interval [-3,3] I got f '(x)=5x^4+12x^2-16 and using the quadratic formula came up with critical points of plus and minus .977 . 
How do I now use this information to find the local (relative) endpoint, and absolute maximums and minimums?

And then, using the endpoints of the domain and the critical points, how do I divide the domain into sub-intervals and determine which is increasing or decreasing and determine concavity?

wesdg1978 · Answer

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