en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=xsqrt(400-x^2)

Solution

inflection points

f (x) = x 400 - x^{2}

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{2 x ( x + 10 6 ) ( x - 10 6 )}{( x + 20 ) ( x - 20 ) - ( x + 20 ) ( x - 20 )}

Find intervals:

Concave Upward

: - 20 < x < 0,

Concave Downward

: 0 < x < 20

Plug

x = 0

into

x 400 - x^{2} : 0

(0, 0)

Popular Examples

monotone x/(x^2+15x+54)monotone intervals

\frac{x}{x ^{2} + 15 x + 54}

line (0,-1.45),(180,1.45)line

(0, - 1.45), (180, 1.45)

range of 3/(x+1)+2 range

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

inverse of f(x)=(5x)/(4x-5)inverse

f (x) = \frac{5 x}{4 x - 5}

inverse of ln(x+1)inverse

ln (x + 1)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=xsqrt(400-x^2) ?
The inflection f(x)=xsqrt(400-x^2) is (0,0)