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2. f(x) = x^3×e^x. Determine the interval(s) where f(x) is increasing and decreasing. Answer in interval notation.

User RoyB
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1 Answer

10 votes
10 votes

we have the function

f(x)=x^3(e^x)

using a graphing tool

graph the function

see the attached figure

we have that

The function is decreasing in the interval


(-\infty,\text{ -3)}

The function is increasing in the interval


(-3,\text{ 0})\text{ U (0,}\infty)

2. f(x) = x^3×e^x. Determine the interval(s) where f(x) is increasing and decreasing-example-1
User Kindahero
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