What is the critical sin(x) ?

The critical sin(x) is x= pi/2+2pin,x=(3pi)/2+2pin

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critical sin(x)

critical points

sin (x)

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

Solution steps

sin (x)

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

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

f (x) = 3 csc (x + \frac{π}{2})

5 x + 6 y = 42

\frac{x ^{2} - 4}{7 x ^{2}}

f (x) = \frac{1}{3} x - 2

F (X) = X^{4}

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