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Popular Functions >

inflection (7-6x)e^x

Solution

inflection points

(7 - 6 x) e^{x}

Solution

(- \frac{5}{6}, \frac{12}{e ^{\frac{5}{6}}})

Solution steps

f^{''} (x) = e^{x} (- 6 x - 5)

Find intervals:

Concave Upward

: - \infty < x < - \frac{5}{6},

Concave Downward

: - \frac{5}{6} < x < \infty

Plug

x = - \frac{5}{6}

into

(7 - 6 x) e^{x} : \frac{12}{e ^{\frac{5}{6}}}

(- \frac{5}{6}, \frac{12}{e ^{\frac{5}{6}}})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection (7-6x)e^x ?
The inflection (7-6x)e^x is (-5/6 ,(12)/(e^{5/6)})