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Popular Functions >

inflection 12x^3+12x^2-24x

Solution

inflection points

12 x^{3} + 12 x^{2} - 24 x

Solution

(- \frac{1}{3}, \frac{80}{9})

Solution steps

f^{''} (x) = 72 x + 24

Find intervals:

Concave Downward

: - \infty < x < - \frac{1}{3},

Concave Upward

: - \frac{1}{3} < x < \infty

Plug

x = - \frac{1}{3}

into

12 x^{3} + 12 x^{2} - 24 x : \frac{80}{9}

(- \frac{1}{3}, \frac{80}{9})

Graph

Popular Examples

parity x+tan(x)

critical x^{1/3}

intercepts of (1/3)^x

intercepts of f(x)=2x^2+4x-15

Frequently Asked Questions (FAQ)

What is the inflection 12x^3+12x^2-24x ?
The inflection 12x^3+12x^2-24x is (-1/3 , 80/9)