What is the inflection sin(x)-cos(x) ?

The inflection sin(x)-cos(x) is (pi/4+2pin,0),((5pi)/4+2pin,0)

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inflection sin(x)-cos(x)

inflection points

sin (x) - cos (x)

(\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0)

Solution steps

Find where

f^{''} (x)

is equal to zero or undefined

x = \frac{π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Identify inflection points not in domain or where

f (x)

is not continuous

Domain of

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

All inflection points are in domain and not on domain edges

x = \frac{π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Find intervals:

Concave Upward

: 2 πn \leq x < \frac{π}{4} + 2 πn,

Concave Downward

: \frac{π}{4} + 2 πn < x < \frac{5 π}{4} + 2 πn,

Concave Upward

: \frac{5 π}{4} + 2 πn < x < 2 π + 2 πn

Plug

x = \frac{π}{4} + 2 πn

into

sin (x) - cos (x) : 0

(\frac{π}{4} + 2 πn, 0)

Plug

x = \frac{5 π}{4} + 2 πn

into

sin (x) - cos (x) : 0

(\frac{5 π}{4} + 2 πn, 0)

(\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0)

(355.5, 305.5), (- 349.5, - 1526.5)

cot (x)

3 x - 4 y = 24

(1 + 5 x)^{x - 2}

(\frac{1}{3})^{x}

What is the inflection sin(x)-cos(x) ?
The inflection sin(x)-cos(x) is (pi/4+2pin,0),((5pi)/4+2pin,0)