Consider $f ( x ) = e ^ { - x ^ { 3 } }$ .(a) Find the intervals on which f is increasing or decreasing.(b) Find the local maximum and minimum values of f.(c) Find the intervals of concavity and the inflection points.(d) Using the information in (a), (b), and (c) to sketch a graph of f.

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The Answer of Consider $f ( x ) = e ^ { - x ^ { 3 } }$ .(a) Find the intervals on which f is increasing or decreasing.(b) Find the local maximum and minimum values of f.(c) Find the intervals of concavity and the inflection points.(d) Using the information in (a), (b), and (c) to sketch a graph of f.

Consider f(x)=e−x3f ( x ) = e ^ { - x ^ { 3 } }f(x)=e−x3

Consider $f ( x ) = e ^ { - x ^ { 3 } }$