What is the inflection cos(x) ?

The inflection cos(x) is (pi/2+2pin,0),((3pi)/2+2pin,0)

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inflection cos(x)

inflection points

cos (x)

(\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Solution steps

Find where

f^{''} (x)

is equal to zero or undefined

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

Identify inflection points not in domain or where

f (x)

is not continuous

Domain of

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

All inflection points are in domain and not on domain edges

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

Find intervals:

Concave Downward

: 2 πn \leq x < \frac{π}{2} + 2 πn,

Concave Upward

: \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn,

Concave Downward

: \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Plug

x = \frac{π}{2} + 2 πn

into

cos (x) : 0

(\frac{π}{2} + 2 πn, 0)

Plug

x = \frac{3 π}{2} + 2 πn

into

cos (x) : 0

(\frac{3 π}{2} + 2 πn, 0)

(\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

\frac{2 x}{x ^{2} - 16}

\frac{x + 1}{3 x - 8}

7 x + y = 7

2 + 3 + x

(- 3, - 1), (7, - 5)

What is the inflection cos(x) ?
The inflection cos(x) is (pi/2+2pin,0),((3pi)/2+2pin,0)