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Popular >

inflection 3/20 x^5-2x^4+8x^3

Solution

inflection points

\frac{3}{20} x^{5} - 2 x^{4} + 8 x^{3}

Solution

(0, 0)

Solution steps

f^{''} (x) = 3 x^{3} - 24 x^{2} + 48 x

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 0

into

\frac{3}{20} x^{5} - 2 x^{4} + 8 x^{3} : 0

(0, 0)

Popular Examples

extreme ((e^{(mx)}+1))/(e^x)extreme points

\frac{( e ^{(m x)} + 1 )}{e ^{x}}

line (2,4),(4,10)line

(2, 4), (4, 10)

intercepts of f(x)=x^3-25x intercepts

f (x) = x^{3} - 25 x

distance (2,2),(5,5)distance

(2, 2), (5, 5)

inverse of f(x)=(x-3)^2+4 inverse

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

Frequently Asked Questions (FAQ)

What is the inflection 3/20 x^5-2x^4+8x^3 ?
The inflection 3/20 x^5-2x^4+8x^3 is (0,0)