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Popular >

extreme f(x)=3e^x-e^{3x}

Solution

extreme points

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

Solution

Maximum (0, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

3 e^{x} - e^{3 x} : 2

Maximum (0, 2)

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3e^x-e^{3x} ?
The extreme f(x)=3e^x-e^{3x} is Maximum(0,2)