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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 2, e^{2})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, e^{2})

Popular Examples

extreme f(x)=((x^2))/(x-5)extreme points

f (x) = \frac{( x ^{2} )}{x - 5}

domain of f(x)=-2x^2+6x+10 domain

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

symmetry y=2x^2-3x+4 symmetry

y = 2 x^{2} - 3 x + 4

domain of f(x)=4x+24 domain

f (x) = 4 x + 24

extreme ln(7-6x^2)extreme points

ln (7 - 6 x^{2})

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+3)e^{-x} ?
The extreme f(x)=(x+3)e^{-x} is Maximum(-2,e^2)