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Popular >

extreme f(x)=e^x(x-9)

Solution

extreme points

f (x) = e^{x} (x - 9)

Solution

Minimum (8, - e^{8})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 8

into

e^{x} (x - 9) : - e^{8}

Minimum (8, - e^{8})

Popular Examples

extreme 3x^2+2x[-2.1]extreme points

3 x^{2} + 2 x [- 2.1]

extreme f(x)=x^3-48xy+64y^3 extreme points

f (x) = x^{3} - 48 x y + 64 y^{3}

extreme f(xy)=x^3-3xy+y^3 extreme points

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

extreme e^x(x-3)extreme points

e^{x} (x - 3)

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x-9) ?
The extreme f(x)=e^x(x-9) is Minimum(8,-e^8)