What is the inflection 3cos^2(x)-6sin(x) ?

The inflection 3cos^2(x)-6sin(x) is (pi/6+2pin,-3/4),((5pi)/6+2pin,-3/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection 3cos^2(x)-6sin(x)

inflection points

3 cos^{2} (x) - 6 sin (x)

(\frac{π}{6} + 2 πn, - \frac{3}{4}), (\frac{5 π}{6} + 2 πn, - \frac{3}{4})

Solution steps

Find where

f^{''} (x)

is equal to zero or undefined

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

Identify inflection points not in domain or where

f (x)

is not continuous

Domain of

3 cos^{2} (x) - 6 sin (x) : - \infty < x < \infty

All inflection points are in domain and not on domain edges

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

Find intervals:

Concave Downward

: 2 πn \leq x < \frac{π}{6} + 2 πn,

Concave Upward

: \frac{π}{6} + 2 πn < x < \frac{5 π}{6} + 2 πn,

Concave Downward

: \frac{5 π}{6} + 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}{6} + 2 πn

into

3 cos^{2} (x) - 6 sin (x) : - \frac{3}{4}

(\frac{π}{6} + 2 πn, - \frac{3}{4})

Plug

x = \frac{5 π}{6} + 2 πn

into

3 cos^{2} (x) - 6 sin (x) : - \frac{3}{4}

(\frac{5 π}{6} + 2 πn, - \frac{3}{4})

(\frac{π}{6} + 2 πn, - \frac{3}{4}), (\frac{5 π}{6} + 2 πn, - \frac{3}{4})

f (x) = \frac{7 x}{x ^{2} - 4}

\frac{x ^{2} + 1}{3 x - 2 x ^{2}}

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

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

What is the inflection 3cos^2(x)-6sin(x) ?
The inflection 3cos^2(x)-6sin(x) is (pi/6+2pin,-3/4),((5pi)/6+2pin,-3/4)