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Popular >

extreme f(x)=(x-8)e^x

Solution

extreme points

f (x) = (x - 8) e^{x}

Solution

Minimum (7, - e^{7})

Solution steps

f^{'} (x) = e^{x} (x - 7)

Find intervals:

Decreasing

: - \infty < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 7

into

(x - 8) e^{x} : - e^{7}

Minimum (7, - e^{7})

Popular Examples

extreme y=6t^2-42t-60 extreme points

y = 6 t^{2} - 42 t - 60

extreme y=y=(x^3)/3+(x^2)/2-2x+9 extreme points

y = y = \frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 9

extreme-y^2+xy-x^3+y+3 extreme points

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

extreme f(x,y)=-x^4+8x^2-y^2-1 extreme points

f (x, y) = - x^{4} + 8 x^{2} - y^{2} - 1

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-8)e^x ?
The extreme f(x)=(x-8)e^x is Minimum(7,-e^7)