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Popular >

inflection 2x^3+3x^2-36x

Solution

inflection points

2 x^{3} + 3 x^{2} - 36 x

Solution

(- \frac{1}{2}, \frac{37}{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} - 36 x : \frac{37}{2}

(- \frac{1}{2}, \frac{37}{2})

Popular Examples

range of f(x)=x^2+25 range

f (x) = x^{2} + 25

domain of f(x)=x^3-x^2-6x domain

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

asymptotes of f(x)=(10/9)^x asymptotes

f (x) = (\frac{10}{9})^{x}

domain of f(x)=x^2-6 domain

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

domain of f(x)=x^2+x domain

f (x) = x^{2} + x

Frequently Asked Questions (FAQ)

What is the inflection 2x^3+3x^2-36x ?
The inflection 2x^3+3x^2-36x is (-1/2 , 37/2)