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Popular Functions >

inflection f(x)=x^5-5x^4+15x+4

Solution

inflection points

f (x) = x^{5} - 5 x^{4} + 15 x + 4

Solution

(3, - 113)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = 3

into

x^{5} - 5 x^{4} + 15 x + 4 : - 113

(3, - 113)

Graph

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midpoint (2,4),(-3,-9)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^5-5x^4+15x+4 ?
The inflection f(x)=x^5-5x^4+15x+4 is (3,-113)