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Popular >

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}}})

Popular Examples

distance (9,-3),(-2,-2)distance

(9, - 3), (- 2, - 2)

asymptotes of f(x)=6^x asymptotes

f (x) = 6^{x}

amplitude of 2/5 sin(x)amplitude

\frac{2}{5} sin (x)

intercepts of f(x)=5x-4y=30 intercepts

f (x) = 5 x - 4 y = 30

critical f(x)=x^3-6x^2-15x+40 critical points

f (x) = x^{3} - 6 x^{2} - 15 x + 40

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)})