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Popular >

inflection 2x^3+3x^2-180x

Solution

inflection points

2 x^{3} + 3 x^{2} - 180 x

Solution

(- \frac{1}{2}, \frac{181}{2})

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - \frac{1}{2},

Concave Upward

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

2 x^{3} + 3 x^{2} - 180 x : \frac{181}{2}

(- \frac{1}{2}, \frac{181}{2})

Popular Examples

range of f(x)= t/(sqrt(t+1))range

f (x) = \frac{t}{t + 1}

monotone f(x)=4x^3+21x^2+18x+2 monotone intervals

f (x) = 4 x^{3} + 21 x^{2} + 18 x + 2

extreme f(x)=18x^{2/3}-6x extreme points

f (x) = 18 x^{\frac{2}{3}} - 6 x

domain of f(x)=(3x)/(7x-6)domain

f (x) = \frac{3 x}{7 x - 6}

intercepts of f(x)=sqrt(1-x)intercepts

f (x) = 1 - x

Frequently Asked Questions (FAQ)

What is the inflection 2x^3+3x^2-180x ?
The inflection 2x^3+3x^2-180x is (-1/2 , 181/2)