What is the critical f(x)=x^2+2x+25 ?

The critical f(x)=x^2+2x+25 is x=-1

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critical f(x)=x^2+2x+25

critical points

f (x) = x^{2} + 2 x + 25

x = - 1

Solution steps

x^{2} + 2 x + 25

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1

Identify critical points not in

f (x)

domain

Domain of

x^{2} + 2 x + 25 : - \infty < x < \infty

All critical points are in domain

x = - 1

y = x^{2} - 9

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

f (x) = 4 (x + 1)^{2} - 3

x^{2} + 12 x + 36

y = 2 x^{2} - 8