What is the critical f(x)=cos(x)+sqrt(3)sin(x) ?

The critical f(x)=cos(x)+sqrt(3)sin(x) is x= pi/3+2pin,x=(4pi)/3+2pin

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critical f(x)=cos(x)+sqrt(3)sin(x)

critical points

f (x) = cos (x) + 3 sin (x)

x = \frac{π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

cos (x) + 3 sin (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Identify critical points not in

f (x)

domain

Domain of

cos (x) + 3 sin (x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

f (x) = 3 x^{2} - 12

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

g (t) = t^{4} + t^{3} + t^{2} + 1

f (x) = \frac{x ^{5} - 5 x}{5}

f (x) = 6 x^{2} - 2 x^{3} + 3 y^{2} + 6 x y

What is the critical f(x)=cos(x)+sqrt(3)sin(x) ?
The critical f(x)=cos(x)+sqrt(3)sin(x) is x= pi/3+2pin,x=(4pi)/3+2pin