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Popular Functions >

inflection (9-6x)e^x

Solution

inflection points

(9 - 6 x) e^{x}

Solution

(- \frac{1}{2}, \frac{12}{e})

Solution steps

f^{''} (x) = 3 (- 2 e^{x} x - e^{x})

Find intervals:

Concave Upward

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

Concave Downward

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

Plug

x = - \frac{1}{2}

into

(9 - 6 x) e^{x} : \frac{12}{e}

(- \frac{1}{2}, \frac{12}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection (9-6x)e^x ?
The inflection (9-6x)e^x is (-1/2 ,(12)/(sqrt(e)))