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Popular Functions >

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

Solution

inflection points

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

Solution

(- 3, 162)

Solution steps

f^{''} (x) = 20 x^{3} + 60 x^{2}

Find intervals:

Concave Downward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 3

into

x^{5} + 5 x^{4} : 162

(- 3, 162)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^5+5x^4 ?
The inflection f(x)=x^5+5x^4 is (-3,162)