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Popular >

inflection x^4-4x^3+3

Solution

inflection points

x^{4} - 4 x^{3} + 3

Solution

(0, 3), (2, - 13)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

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

(0, 3)

Plug

x = 2

into

x^{4} - 4 x^{3} + 3 : - 13

(2, - 13)

(0, 3), (2, - 13)

Popular Examples

domain of f(x)=sqrt(8x+3)domain

f (x) = 8 x + 3

inverse of f(x)=sqrt(x-2)+5 inverse

f (x) = x - 2 + 5

inverse of f(x)=\sqrt[3]{2x+4}inverse

inverse of f(x)=(x+4)/9 inverse

f (x) = \frac{x + 4}{9}

extreme f(x)=x(1-x)extreme points

f (x) = x (1 - x)

Frequently Asked Questions (FAQ)

What is the inflection x^4-4x^3+3 ?
The inflection x^4-4x^3+3 is (0,3),(2,-13)