What is the critical 4x^3-9x^2+3x+1 ?

The critical 4x^3-9x^2+3x+1 is x=(3-sqrt(5))/4 ,x=(3+sqrt(5))/4

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critical 4x^3-9x^2+3x+1

critical points

4 x^{3} - 9 x^{2} + 3 x + 1

x = \frac{3 - 5}{4}, x = \frac{3 + 5}{4}

Solution steps

4 x^{3} - 9 x^{2} + 3 x + 1

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{3 - 5}{4}, x = \frac{3 + 5}{4}

Identify critical points not in

f (x)

domain

Domain of

4 x^{3} - 9 x^{2} + 3 x + 1 : - \infty < x < \infty

All critical points are in domain

x = \frac{3 - 5}{4}, x = \frac{3 + 5}{4}

2 x^{2} + 8 x y + y^{4}

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

x + 4 y + \frac{2}{x y}

3 x^{4} - 2 x^{3} + 1

x^{4} + 6 x^{3} - 5 x^{2} + 2 x + 3

What is the critical 4x^3-9x^2+3x+1 ?
The critical 4x^3-9x^2+3x+1 is x=(3-sqrt(5))/4 ,x=(3+sqrt(5))/4