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Popular >

inflection f(x)=x^4+4x^3+7

Solution

inflection points

f (x) = x^{4} + 4 x^{3} + 7

Solution

(- 2, - 9), (0, 7)

Solution steps

f^{''} (x) = 12 x^{2} + 24 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

x^{4} + 4 x^{3} + 7 : - 9

(- 2, - 9)

Plug

x = 0

into

x^{4} + 4 x^{3} + 7 : 7

(0, 7)

(- 2, - 9), (0, 7)

Graph

Popular Examples

inverse of 8x inverse

8 x

extreme f(x)=2+5x-x^2 extreme points

f (x) = 2 + 5 x - x^{2}

domain of y=sqrt(x^2-1)domain

y = x^{2} - 1

critical 1/(x+2)critical points

\frac{1}{x + 2}

intercepts of (6x+9)/(x-1)intercepts

\frac{6 x + 9}{x - 1}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4+4x^3+7 ?
The inflection f(x)=x^4+4x^3+7 is (-2,-9),(0,7)