## determine where f(x)=x^3-15x^2+12x+11 is concave up and concave down.

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# Mathematics

## Determine where the Given function is concave up and concave down. F(x)=3x-x^3

## Find where y=x^3-x is concave up and concave down.

## Where is f(x)=x lnx concave up and concave down?

EXPERT ANSWER F(x)=3x-x^3 F'(x)=3-3x^2 F”(x)=-6x The function is concave up when F”(x)> 0 and down when F”(x)<0, Therefore, it is concave up for x<0 and concave down for x>0

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