What is the critical f(x)=3x+sin(3x) ?

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

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critical f(x)=3x+sin(3x)

critical points

f (x) = 3 x + sin (3 x)

x = \frac{π}{3} + \frac{2 πn}{3}

Solution steps

3 x + sin (3 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{3} + \frac{2 πn}{3}

Identify critical points not in

f (x)

domain

Domain of

3 x + sin (3 x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{3} + \frac{2 πn}{3}

f (x) = \frac{x ^{2} + 1}{x + 1}

x^{3} - x^{2} - 5 x + 7

f (x) = x^{3} - 6 x^{2} - 15 x + 8

f (x) = 3 x^{4} - 6 x^{2} + 7

- 2 x + y = 1

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