What is the critical sin(x)+cos(x) ?

The critical sin(x)+cos(x) is x= pi/4+2pin,x=(5pi)/4+2pin

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critical sin(x)+cos(x)

critical

x = \frac{π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

sin (x) + cos (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Identify critical points not in

f (x)

domain

Domain of

sin (x) + cos (x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

What is the critical sin(x)+cos(x) ?
The critical sin(x)+cos(x) is x= pi/4+2pin,x=(5pi)/4+2pin