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

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

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critical cos(x)+sin(x)

critical points

cos (x) + sin (x)

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

Solution steps

cos (x) + sin (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

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

All critical points are in domain

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

\frac{2 x ^{3}}{x ^{3} - 1}

f (x) = x^{2} - 2 x + 6

(5, - 8), (2, 7)

f (x) = ln (e^{x} - 2)

y = - \frac{2}{3} x - 5

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