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Popular >

inflection f(x)=x^4-4x^3+6

Solution

inflection points

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

Solution

(0, 6), (2, - 10)

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} + 6 : 6

(0, 6)

Plug

x = 2

into

x^{4} - 4 x^{3} + 6 : - 10

(2, - 10)

(0, 6), (2, - 10)

Popular Examples

inflection f(x)=x^3+3x+5 inflection points

f (x) = x^{3} + 3 x + 5

inverse of y=4x^2 inverse

y = 4 x^{2}

domain of f(x)= 5/((5/x))domain

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

range of f(x)=ln(5x-2)range

f (x) = ln (5 x - 2)

extreme f(x)=-4x^3-3x^2+9x+2 extreme points

f (x) = - 4 x^{3} - 3 x^{2} + 9 x + 2

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+6 ?
The inflection f(x)=x^4-4x^3+6 is (0,6),(2,-10)