What is the critical f(x)=In((x^3+9x^2-10x)/(4x^3-4)) ?

The critical f(x)=In((x^3+9x^2-10x)/(4x^3-4)) is (0,0),(-10,0)

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critical f(x)=In((x^3+9x^2-10x)/(4x^3-4))

critical points

f (x) = I n (\frac{x ^{3} + 9 x ^{2} - 10 x}{4 x ^{3} - 4})

(0, 0), (- 10, 0)

Solution steps

I n \frac{x ^{3} + 9 x ^{2} - 10 x}{4 x ^{3} - 4}

Find where

\nabla f (x, I)

is equal to zero or undefined

(0, 0), (- 10, 0)

f (x) = x^{- \frac{1}{3}} (x - 16)

2 t^{3} - 24 t^{2} + 72 t + 30

f (x, y) = (3 x + 4 x^{3}) (y^{2} + 2 y)

f (x) = x^{4} - 4 x y + y^{4} - 4

f (x) = (740 - 18 x) x

What is the critical f(x)=In((x^3+9x^2-10x)/(4x^3-4)) ?
The critical f(x)=In((x^3+9x^2-10x)/(4x^3-4)) is (0,0),(-10,0)