What is the critical f(x)=((x+1))/(x^2-5x+4) ?

The critical f(x)=((x+1))/(x^2-5x+4) is x=-1-sqrt(10),x=sqrt(10)-1

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critical f(x)=((x+1))/(x^2-5x+4)

critical points

f (x) = \frac{( x + 1 )}{x ^{2} - 5 x + 4}

x = - 1 - 10, x = 10 - 1

Solution steps

\frac{x + 1}{x ^{2} - 5 x + 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1 - 10, x = 10 - 1, x = 1, x = 4

Identify critical points not in

f (x)

domain

Domain of

\frac{x + 1}{x ^{2} - 5 x + 4} : x < 1 or 1 < x < 4 or x > 4

\frac{x + 1}{x ^{2} - 5 x + 4}

is not defined at

x = 1, x = 4

, therefore:

x = - 1 - 10, x = 10 - 1

y = sin^{2} (x)

g (x) 3 x^{2} - 6 x - 24

f (x) = x x - 8

5 x^{2} + 5 y^{2} + 5 x y - 10 x - 5 y + 18

f (x, y) = x^{3} + y^{4} - 6 x - 4 y + 5

What is the critical f(x)=((x+1))/(x^2-5x+4) ?
The critical f(x)=((x+1))/(x^2-5x+4) is x=-1-sqrt(10),x=sqrt(10)-1