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Popular >

inflection 2x^3+9x^2+54x+27

Solution

inflection points

2 x^{3} + 9 x^{2} + 54 x + 27

Solution

(- \frac{3}{2}, - \frac{81}{2})

Solution steps

f^{''} (x) = 12 x + 18

Find intervals:

Concave Downward

: - \infty < x < - \frac{3}{2},

Concave Upward

: - \frac{3}{2} < x < \infty

Plug

x = - \frac{3}{2}

into

2 x^{3} + 9 x^{2} + 54 x + 27 : - \frac{81}{2}

(- \frac{3}{2}, - \frac{81}{2})

Popular Examples

parity f(x)=7csc(x^2)parity

f (x) = 7 csc (x^{2})

domain of f(x)=sqrt(5-x)+sqrt(x^2-9)domain

f (x) = 5 - x + x^{2} - 9

extreme 13x(x-1)^3 extreme points

13 x (x - 1)^{3}

domain of f(x)=(sqrt(2x+7))/(x-1)domain

f (x) = \frac{2 x + 7}{x - 1}

symmetry y=x^2+1 symmetry

y = x^{2} + 1

Frequently Asked Questions (FAQ)

What is the inflection 2x^3+9x^2+54x+27 ?
The inflection 2x^3+9x^2+54x+27 is (-3/2 ,-81/2)