What is the critical sin(7x) ?

The critical sin(7x) is x= pi/(14)+(2pi)/7 n,x=(3pi}{14}+\frac{2pi)/7 n

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critical sin(7x)

critical points

sin (7 x)

x = \frac{π}{14} + \frac{2 π}{7} n, x = \frac{3 π}{14} + \frac{2 π}{7} n

Solution steps

sin (7 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{14} + \frac{2 π}{7} n, x = \frac{3 π}{14} + \frac{2 π}{7} n

Identify critical points not in

f (x)

domain

Domain of

sin (7 x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{14} + \frac{2 π}{7} n, x = \frac{3 π}{14} + \frac{2 π}{7} n

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

\frac{2 - x}{1 - x}

f (x) = lo g_{5} (x)

f (x) = \frac{x ^{2} + 5 x + 6}{x + 4}

f (x) = \frac{x + 2}{2}

What is the critical sin(7x) ?
The critical sin(7x) is x= pi/(14)+(2pi)/7 n,x=(3pi}{14}+\frac{2pi)/7 n