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Popular >

extreme e^x(x-3)

Solution

extreme points

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 y=2sin(x)+9cos(x),0<= x<= 2pi extreme points

y = 2 sin (x) + 9 cos (x), 0 \leq x \leq 2 π

extreme f(x)=-10x^2+180x+10 extreme points

f (x) = - 10 x^{2} + 180 x + 10

extreme f(x)=(8-x)/(5+x)extreme points

f (x) = \frac{8 - x}{5 + x}

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

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

extreme f(x)=4x^3-32x extreme points

f (x) = 4 x^{3} - 32 x

Frequently Asked Questions (FAQ)

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