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Popular >

inflection y=xsqrt(16-x^2)

Solution

inflection points

y = x 16 - x^{2}

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{2 x ( x + 2 6 ) ( x - 2 6 )}{( x + 4 ) ( x - 4 ) - ( x + 4 ) ( x - 4 )}

Find intervals:

Concave Upward

: - 4 < x < 0,

Concave Downward

: 0 < x < 4

Plug

x = 0

into

x 16 - x^{2} : 0

(0, 0)

Graph

Popular Examples

domain of 1/((sqrt(1-x^2)))domain

\frac{1}{( 1 - x ^{2} )}

domain of f(x)=(-2x+1)/x domain

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

intercepts of f(x)=x^3+2x^2+x intercepts

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

critical f(x)=6x^4+6x^3 critical points

f (x) = 6 x^{4} + 6 x^{3}

inflection f(x)=x^3+3x^2+1 inflection points

f (x) = x^{3} + 3 x^{2} + 1

Frequently Asked Questions (FAQ)

What is the inflection y=xsqrt(16-x^2) ?
The inflection y=xsqrt(16-x^2) is (0,0)