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Popular Functions >

inflection f(x)=2x^3-3x^2+9x-3

Solution

inflection points

f (x) = 2 x^{3} - 3 x^{2} + 9 x - 3

Solution

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

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} + 9 x - 3 : 1

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

Graph

Popular Examples

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slope ofintercept-4/3

slope of y=-3x-4

periodicity of y=-sin(2x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x^3-3x^2+9x-3 ?
The inflection f(x)=2x^3-3x^2+9x-3 is (1/2 ,1)