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

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

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critical sin(x)cos(x)

critical points

sin (x) cos (x)

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

Solution steps

sin (x) cos (x)

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

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

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