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Popular Functions >

inflection f(x)=2x^3+3x^2-4

Solution

inflection points

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

Solution

(- \frac{1}{2}, - \frac{7}{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} - 4 : - \frac{7}{2}

(- \frac{1}{2}, - \frac{7}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x^3+3x^2-4 ?
The inflection f(x)=2x^3+3x^2-4 is (-1/2 ,-7/2)