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

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

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critical f(x)=sin(x)+cos(x)

critical points

f (x) = sin (x) + cos (x)

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

y = 3 cos (x)

f (x) = \frac{- 2 x ^{2} - 13 x - 15}{x + 5}

4 + \frac{16}{x}

f (x) = arctan (\frac{x + 1}{x + 2})

\frac{x + 1}{x - 4}

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