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Discuss the extremum of f(x)=2x+3x^(2/3)...

Discuss the extremum of `f(x)=2x+3x^(2/3)`

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f(x) =`2x+3x^(2//3)`
`f(x) =2+3xx(2)/(3)x^(-1//3)=2(1+x^(-1//3))`
If f(x) =0 then `x^(-1//3)+1=0 or x=-1`
`f(x)=-(2)/(3)x^(-4)/(3)`
`f(-1)=-(2)/(3)(-1)^(-4//3)=-(2)/(3)lt0`
So ,x =-1 is point of maxima
Also f(x) is non differentiable at x=0
`f(x) =x^(2//3)(3+x^(1//3))`
f(0)=0 and `f(0)^(1)gt` and `f(0)^(-)gt0`
x=0 is point minima.
we can draw the graph of the function to verify this.
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