Locate all critical points of `h(x)=(-47-6x^2+36x)^(1/2)`

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`h(x) = (-47-6x^2 +36x)^(1/2)`

To determine the critical points, take the derivative of h(x). Apply the power formula which is `(u^n)'= n*u^(n-1)* u' ` .

`h'(x) = 1/2 (-47 - 6x^2+36x)^(-1/2) * (-47 - 6x^2 + 36x)'`

`h'(x) =1/2 (-47 - 6x^2+36x)^(-1/2) *(-12x+36)`

`h'(x) =...

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