What is the critical f(x)=sin(x)+cos(x),(0,2pi) ?

The critical f(x)=sin(x)+cos(x),(0,2pi) is x= pi/4 ,x=(5pi)/4

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critical f(x)=sin(x)+cos(x),(0,2pi)

critical points

f (x) = sin (x) + cos (x), (0, 2 π)

x = \frac{π}{4}, x = \frac{5 π}{4}

Solution steps

sin (x) + cos (x), (0, 2 π)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{4}, x = \frac{5 π}{4}

Identify critical points not in

f (x)

domain

Domain of

sin (x) + cos (x), (0, 2 π) : 0 < x < 2 π

All critical points are in domain

x = \frac{π}{4}, x = \frac{5 π}{4}

f (x) = sin (\frac{x}{2})

f (x, y) = 3 x^{3} y + y^{2}

f (x, y) = 3 x^{2} - 2 x y + y^{2} - 8 y

f (x, y) = x^{2} - 2 x y + 2 y^{2} - 2 y

f (x) = - 4 x^{4}

What is the critical f(x)=sin(x)+cos(x),(0,2pi) ?
The critical f(x)=sin(x)+cos(x),(0,2pi) is x= pi/4 ,x=(5pi)/4