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Popular >

extreme f(x)=(5-x)e^x

Solution

extreme points

f (x) = (5 - x) e^{x}

Solution

Maximum (4, e^{4})

Solution steps

f^{'} (x) = e^{x} (- x + 4)

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

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

Maximum (4, e^{4})

Popular Examples

extreme f(x,y)=y^3-yx^2-3y^2*x^2+3x^4 extreme points

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

extreme 2x^2-9x-1 extreme points

2 x^{2} - 9 x - 1

extreme f(x)=x+(16)/x ,4<= x<= 25 extreme points

f (x) = x + \frac{16}{x}, 4 \leq x \leq 25

extreme f(x)=60x^3-120x extreme points

f (x) = 60 x^{3} - 120 x

extreme 2y extreme points

2 y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(5-x)e^x ?
The extreme f(x)=(5-x)e^x is Maximum(4,e^4)