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Popular Functions >

extreme e^{x^2-7x-1}

Solution

extreme points

e^{x^{2} - 7 x - 1}

Solution

Minimum (\frac{7}{2}, \frac{1}{e ^{\frac{53}{4}}})

Solution steps

f^{'} (x) = e^{x^{2} - 7 x - 1} (2 x - 7)

Find intervals:

Decreasing

: - \infty < x < \frac{7}{2},

Increasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

e^{x^{2} - 7 x - 1} : \frac{1}{e ^{\frac{53}{4}}}

Minimum (\frac{7}{2}, \frac{1}{e ^{\frac{53}{4}}})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme e^{x^2-7x-1} ?
The extreme e^{x^2-7x-1} is Minimum(7/2 , 1/(e^{53/4)})