What is the inflection 7sin(x)+7cos(x) ?

The inflection 7sin(x)+7cos(x) is ((3pi)/4+2pin,0),((7pi)/4+2pin,0)

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inflection 7sin(x)+7cos(x)

inflection points

7 sin (x) + 7 cos (x)

(\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

Solution steps

Find where

f^{''} (x)

is equal to zero or undefined

x = \frac{3 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Identify inflection points not in domain or where

f (x)

is not continuous

Domain of

7 sin (x) + 7 cos (x) : - \infty < x < \infty

All inflection points are in domain and not on domain edges

x = \frac{3 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Find intervals:

Concave Downward

: 2 πn \leq x < \frac{3 π}{4} + 2 πn,

Concave Upward

: \frac{3 π}{4} + 2 πn < x < \frac{7 π}{4} + 2 πn,

Concave Downward

: \frac{7 π}{4} + 2 πn < x < 2 π + 2 πn

Plug

x = \frac{3 π}{4} + 2 πn

into

7 sin (x) + 7 cos (x) : 0

(\frac{3 π}{4} + 2 πn, 0)

Plug

x = \frac{7 π}{4} + 2 πn

into

7 sin (x) + 7 cos (x) : 0

(\frac{7 π}{4} + 2 πn, 0)

(\frac{3 π}{4} + 2 πn, 0), (\frac{7 π}{4} + 2 πn, 0)

h (x) = 2 (x - 1)^{3} + 5

f (x) = \frac{1}{17 x - 34}

f (x) = - x^{3} - 2 x^{2} + 16 x + 32

(0, - 3), (- 10, - 7)

f (x) = x^{3} + 3 x^{2} + 2

What is the inflection 7sin(x)+7cos(x) ?
The inflection 7sin(x)+7cos(x) is ((3pi)/4+2pin,0),((7pi)/4+2pin,0)