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Popular >

extreme (x-5)e^x

Solution

extreme points

(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

extreme x^{6/7}-7 extreme points

x^{\frac{6}{7}} - 7

extreme 2-((98)/(x^2))extreme points

2 - (\frac{98}{x ^{2}})

extreme f(x)=1.8x-0.03x^2 extreme points

f (x) = 1.8 x - 0.03 x^{2}

extreme f(x)=(8x^2-10x-1)/(2x-3)y extreme points

f (x) = \frac{8 x ^{2} - 10 x - 1}{2 x - 3} y

extreme f(x)= 1/3 x^3-5x,-8<= x<= 8 extreme points

f (x) = \frac{1}{3} x^{3} - 5 x, - 8 \leq x \leq 8

Frequently Asked Questions (FAQ)

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