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Popular >

extreme e^{3x}(2-x)

Solution

extreme points

e^{3 x} (2 - x)

Solution

Maximum (\frac{5}{3}, \frac{e ^{5}}{3})

Solution steps

f^{'} (x) = e^{3 x} (- 3 x + 5)

Find intervals:

Increasing

: - \infty < x < \frac{5}{3},

Decreasing

: \frac{5}{3} < x < \infty

Plug

x = \frac{5}{3}

into

e^{3 x} (2 - x) : \frac{e ^{5}}{3}

Maximum (\frac{5}{3}, \frac{e ^{5}}{3})

Popular Examples

parity e^x parity

e^{x}

domain of f(x)=(5x)/(2x-1)domain

f (x) = \frac{5 x}{2 x - 1}

intercepts of (2x+1)/(2x-1)intercepts

\frac{2 x + 1}{2 x - 1}

range of f(x)=(2x)/(x-1)range

f (x) = \frac{2 x}{x - 1}

extreme f(x)=x-e^x extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme e^{3x}(2-x) ?
The extreme e^{3x}(2-x) is Maximum(5/3 ,(e^5)/3)