What is the critical cos(4x) ?

The critical cos(4x) is x= pi/2 n,x= pi/4+pi/2 n

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critical cos(4x)

critical points

cos (4 x)

x = \frac{π}{2} n, x = \frac{π}{4} + \frac{π}{2} n

Solution steps

cos (4 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{2} n, x = \frac{π}{4} + \frac{π}{2} n

Identify critical points not in

f (x)

domain

Domain of

cos (4 x) : - \infty < x < \infty

All critical points are in domain

x = \frac{π}{2} n, x = \frac{π}{4} + \frac{π}{2} n

f (x) = \frac{x + 8}{x ^{2} - 25}

f (x) = \frac{9}{5} x - 4

f (x) = 8 - x^{3}

3 x^{2} + 6

- 6 x^{2} - 4 x