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5. Find where the function f (x) xe is increasing, decreasing, concaveup and concave down. State the (x, y) coordinates of all relativeextrema and inflection points.

Question
5. Find where the function f (x) xe is increasing, decreasing, concave
up and concave down. State the (x, y) coordinates of all relative
extrema and inflection points.
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5. Find where the function f (x) xe is increasing, decreasing, concave up and concave down. State the (x, y) coordinates of all relative extrema and inflection points.

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Step 1

Given information:

The given fucntion is f(x)=xe^x.

Step 2

Calculation:

 

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Step 3

f(-1)=-1e^-1

=-1/e

Critical point is (-1,-1/e).

(-infinity, -1)U(-1, +infinity)

Assume x=-2

f(-2)=-2e^(-2)<0

f(2)=2e^2>0

So, the function is inc...

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Math

Calculus

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