What is the critical f(x)=sin^2(6x) ?

The critical f(x)=sin^2(6x) is x= pi/6 n,x= pi/(12)+pi/6 n

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critical f(x)=sin^2(6x)

critical points

f (x) = sin^{2} (6 x)

x = \frac{π}{6} n, x = \frac{π}{12} + \frac{π}{6} n

Solution steps

sin^{2} (6 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{6} n, x = \frac{π}{12} + \frac{π}{6} n

Identify critical points not in

f (x)

domain

Domain of

sin^{2} (6 x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{6} n, x = \frac{π}{12} + \frac{π}{6} n

f (x) = 5 x + 10

f (x) = e^{x}

f (x) = x^{2} + 2 x + 9

\frac{64}{x ^{2}} + 81

y = x - 4

What is the critical f(x)=sin^2(6x) ?
The critical f(x)=sin^2(6x) is x= pi/6 n,x= pi/(12)+pi/6 n