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Popular Functions >

extreme e^x-e^{2x}

Solution

extreme points

e^{x} - e^{2 x}

Solution

Maximum (- ln (2), \frac{1}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - ln (2),

Decreasing

: - ln (2) < x < \infty

Plug

x = - ln (2)

into

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

Maximum (- ln (2), \frac{1}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme e^x-e^{2x} ?
The extreme e^x-e^{2x} is Maximum(-ln(2), 1/4)