What is the critical f(x)=2x^3+5x^2-x+1 ?

The critical f(x)=2x^3+5x^2-x+1 is x=-(5+sqrt(31))/6 ,x=(-5+sqrt(31))/6

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critical f(x)=2x^3+5x^2-x+1

critical points

f (x) = 2 x^{3} + 5 x^{2} - x + 1

x = - \frac{5 + 31}{6}, x = \frac{- 5 + 31}{6}

Solution steps

2 x^{3} + 5 x^{2} - x + 1

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{5 + 31}{6}, x = \frac{- 5 + 31}{6}

Identify critical points not in

f (x)

domain

Domain of

2 x^{3} + 5 x^{2} - x + 1 : - \infty < x < \infty

All critical points are in domain

x = - \frac{5 + 31}{6}, x = \frac{- 5 + 31}{6}

f (x) = - 2 x + 5

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} - 7 x - 11 y

f (x) = 3 x^{3} + y^{2} - 9 x + 4 y

\frac{6 x ^{2}}{x ^{2} - 9}

f (x, y) = 2 x^{2} + y^{2} + 8 x - 6 y + 20

What is the critical f(x)=2x^3+5x^2-x+1 ?
The critical f(x)=2x^3+5x^2-x+1 is x=-(5+sqrt(31))/6 ,x=(-5+sqrt(31))/6