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Popular >

extreme f(x)=(x-5)e^x

Solution

extreme points

f (x) = (x - 5) e^{x}

Solution

Minimum (4, - e^{4})

Solution steps

f^{'} (x) = e^{x} (x - 4)

Find intervals:

Decreasing

: - \infty < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

(x - 5) e^{x} : - e^{4}

Minimum (4, - e^{4})

Popular Examples

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f (x, y) = x^{3} - 24 x + y^{3} - 10 y

extreme f(x)=(2x)/(x^2-2x-3)extreme points

f (x) = \frac{2 x}{x ^{2} - 2 x - 3}

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f (x) = \frac{x ^{2} + 3 x + 3}{x + 2}

extreme y=x^2+(250)/x extreme points

y = x^{2} + \frac{250}{x}

extreme f(x)=x^2-10x+6 extreme points

f (x) = x^{2} - 10 x + 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-5)e^x ?
The extreme f(x)=(x-5)e^x is Minimum(4,-e^4)