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Popular >

extreme (x-4)e^x

Solution

extreme points

(x - 4) e^{x}

Solution

Minimum (3, - e^{3})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

(x - 4) e^{x} : - e^{3}

Minimum (3, - e^{3})

Graph

Popular Examples

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

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

extreme f(x,y)=x^3+2xy^2-(y^4)/x extreme points

f (x, y) = x^{3} + 2 x y^{2} - \frac{y ^{4}}{x}

extreme f(x)=(x^3)/(3x^2+1)extreme points

f (x) = \frac{x ^{3}}{3 x ^{2} + 1}

extreme 9x^2+18x+7 extreme points

9 x^{2} + 18 x + 7

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

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

Frequently Asked Questions (FAQ)

What is the extreme (x-4)e^x ?
The extreme (x-4)e^x is Minimum(3,-e^3)