What is the critical f(x)=In((3x-1)/(x+2)) ?

The critical f(x)=In((3x-1)/(x+2)) is (1/3 ,0)

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critical f(x)=In((3x-1)/(x+2))

critical points

f (x) = I n (\frac{3 x - 1}{x + 2})

(\frac{1}{3}, 0)

Solution steps

I n \frac{3 x - 1}{x + 2}

Find where

\nabla f (x, I)

is equal to zero or undefined

(\frac{1}{3}, 0)

f (x) = 3 x^{2} - 3 x - 6

f (x) = 2 x^{2} - 3 x + 1

f (x) = 3 x^{2} - 3 x + 2

f (x) = (2 x^{2} - 8 x)^{\frac{2}{3}}

f (x) = 80 x + 50 y - 2 x^{2} - 2 x y - y^{2}

What is the critical f(x)=In((3x-1)/(x+2)) ?
The critical f(x)=In((3x-1)/(x+2)) is (1/3 ,0)