What is the critical f(x)=sin(4x) ?

The critical f(x)=sin(4x) is x= pi/8+pi/2 n,x=(3pi)/8+pi/2 n

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critical f(x)=sin(4x)

critical

x = \frac{π}{8} + \frac{π}{2} n, x = \frac{3 π}{8} + \frac{π}{2} n

Solution steps

sin (4 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{8} + \frac{π}{2} n, x = \frac{3 π}{8} + \frac{π}{2} n

Identify critical points not in

f (x)

domain

Domain of

sin (4 x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{8} + \frac{π}{2} n, x = \frac{3 π}{8} + \frac{π}{2} n

What is the critical f(x)=sin(4x) ?
The critical f(x)=sin(4x) is x= pi/8+pi/2 n,x=(3pi)/8+pi/2 n