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Find absolute and local extrema of function f(x)=e^{x^3+x^2+x} on interval [-1,1] and determine which one is...

Find absolute and local extrema of function f(x)=e^{x^3+x^2+x} on interval [-1,1] and determine which one is local max, local min, absolute max, and absolute min. Write your answers clearly and concisely, including all work. Any numerical answers may be written either in exact or in approximate form as long as an exact solving method is used.

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