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Popular Functions >

inflection f(x)=x^3-6x^2-36x

Solution

inflection points

f (x) = x^{3} - 6 x^{2} - 36 x

Solution

(2, - 88)

Solution steps

f^{''} (x) = 6 x - 12

Find intervals:

Concave Downward

: - \infty < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 2

into

x^{3} - 6 x^{2} - 36 x : - 88

(2, - 88)

Graph

Popular Examples

intercepts of f(x)=y^2-x-25=0

in t erce pt s f (x) = y^{2} - x - 25 = 0

inverse of f(x)=4x+16

in v erse f (x) = 4 x + 16

y = - 3 x - 1

critical (x^2-1)/(x^3)

cr i t i c a l \frac{x ^{2} - 1}{x ^{3}}

inflection f(x)=-2/5 x^6+5x^4

in f l ec t i o n f (x) = - \frac{2}{5} x^{6} + 5 x^{4}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^3-6x^2-36x ?
The inflection f(x)=x^3-6x^2-36x is (2,-88)