What is the critical (x+5)/(x^2-12x+35) ?

The critical (x+5)/(x^2-12x+35) is x=-5-2sqrt(30),x=2sqrt(30)-5

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critical (x+5)/(x^2-12x+35)

critical points

\frac{x + 5}{x ^{2} - 12 x + 35}

x = - 5 - 230, x = 230 - 5

Solution steps

\frac{x + 5}{x ^{2} - 12 x + 35}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 5 - 230, x = 230 - 5, x = 5, x = 7

Identify critical points not in

f (x)

domain

Domain of

\frac{x + 5}{x ^{2} - 12 x + 35} : x < 5 or 5 < x < 7 or x > 7

\frac{x + 5}{x ^{2} - 12 x + 35}

is not defined at

x = 5, x = 7

, therefore:

x = - 5 - 230, x = 230 - 5

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

f (x) = x + 5 - 2

(2, 1), (3, 2)

4 x^{3}

\frac{( 4 ln ( x ) )}{11 x ^{2}}

What is the critical (x+5)/(x^2-12x+35) ?
The critical (x+5)/(x^2-12x+35) is x=-5-2sqrt(30),x=2sqrt(30)-5