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Popular >

inflection f(x)=5x^4+20x^3

Solution

inflection points

f (x) = 5 x^{4} + 20 x^{3}

Solution

(- 2, - 80), (0, 0)

Solution steps

f^{''} (x) = 60 x^{2} + 120 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

5 x^{4} + 20 x^{3} : - 80

(- 2, - 80)

Plug

x = 0

into

5 x^{4} + 20 x^{3} : 0

(0, 0)

(- 2, - 80), (0, 0)

Popular Examples

domain of f(x)=-9x+4 domain

f (x) = - 9 x + 4

range of (1+x^2)/(x^2)range

\frac{1 + x ^{2}}{x ^{2}}

domain of 1/(arccos(t-2))domain

\frac{1}{arccos ( t - 2 )}

domain of f(x)=(x-1)^2-9 domain

f (x) = (x - 1)^{2} - 9

simplify (5.1)(4.2)simplify

(5.1) (4.2)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=5x^4+20x^3 ?
The inflection f(x)=5x^4+20x^3 is (-2,-80),(0,0)