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Popular >

inflection f(x)=-3x^4-18x^3

Solution

inflection points

f (x) = - 3 x^{4} - 18 x^{3}

Solution

(- 3, 243), (0, 0)

Solution steps

f^{''} (x) = - 36 x^{2} - 108 x

Find intervals:

Concave Downward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - 3

into

- 3 x^{4} - 18 x^{3} : 243

(- 3, 243)

Plug

x = 0

into

- 3 x^{4} - 18 x^{3} : 0

(0, 0)

(- 3, 243), (0, 0)

Popular Examples

intercepts of x^2+8x intercepts

x^{2} + 8 x

asymptotes of-log_{2}(x)asymptotes

- lo g_{2} (x)

domain of f(x)=(x-3)/((x+4)(x-8))domain

f (x) = \frac{x - 3}{( x + 4 ) ( x - 8 )}

inverse of f(x)=((x+9))/(1-2x)inverse

f (x) = \frac{( x + 9 )}{1 - 2 x}

domain of f(x)=(x+8)/7 domain

f (x) = \frac{x + 8}{7}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-3x^4-18x^3 ?
The inflection f(x)=-3x^4-18x^3 is (-3,243),(0,0)