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Popular >

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

Solution

extreme points

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

Solution

Minimum (2, - e^{2})

Solution steps

f^{'} (x) = e^{x} (x - 2)

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

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

Minimum (2, - e^{2})

Popular Examples

extreme f(x)=4x^3+12x^2-36x extreme points

f (x) = 4 x^{3} + 12 x^{2} - 36 x

extreme f(x,y)=8xln(x)y extreme points

f (x, y) = 8 x ln (x) y

extreme f(x)= 1/4 x^4-2x^3+2 extreme points

f (x) = \frac{1}{4} x^{4} - 2 x^{3} + 2

extreme f(x,y)=x+x^2y+y^2 extreme points

f (x, y) = x + x^{2} y + y^{2}

extreme f(x)=x^3+3x^2+9,0<= x<= 10 extreme points

f (x) = x^{3} + 3 x^{2} + 9, 0 \leq x \leq 10

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x-3) ?
The extreme f(x)=e^x(x-3) is Minimum(2,-e^2)