What is the critical f(x)=2x+5cos(x) ?

The critical f(x)=2x+5cos(x) is x=arcsin(2/5)+2pin,x=pi-arcsin(2/5)+2pin

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critical f(x)=2x+5cos(x)

critical points

f (x) = 2 x + 5 cos (x)

x = arcsin (\frac{2}{5}) + 2 πn, x = π - arcsin (\frac{2}{5}) + 2 πn

Solution steps

2 x + 5 cos (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = arcsin (\frac{2}{5}) + 2 πn, x = π - arcsin (\frac{2}{5}) + 2 πn

Identify critical points not in

f (x)

domain

Domain of

2 x + 5 cos (x) : - \infty < x < \infty

All critical points are in domain

x = arcsin (\frac{2}{5}) + 2 πn, x = π - arcsin (\frac{2}{5}) + 2 πn

f (x) = 3 + x^{3}

y = 5 x - 2

f (x) = x^{2} + 7 x

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

7 x + 3 y = 9

What is the critical f(x)=2x+5cos(x) ?
The critical f(x)=2x+5cos(x) is x=arcsin(2/5)+2pin,x=pi-arcsin(2/5)+2pin