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Popular >

extreme f(x)=-6e^{-x^2}

Solution

extreme points

f (x) = - 6 e^{- x^{2}}

Solution

Minimum (0, - 6)

Solution steps

f^{'} (x) = 12 e^{- x^{2}} x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

- 6 e^{- x^{2}} : - 6

Minimum (0, - 6)

Popular Examples

extreme-16x+56y-x^2+4xy-6y^2+6 extreme points

- 16 x + 56 y - x^{2} + 4 x y - 6 y^{2} + 6

extreme y=x^2+10x+21 extreme points

y = x^{2} + 10 x + 21

extreme f(x)=189x-(x^2)/(354)extreme points

f (x) = 189 x - \frac{x ^{2}}{354}

extreme y=x^3+6x-6 extreme points

y = x^{3} + 6 x - 6

extreme f(x)=f(x,y)=7(x-y)e^{-x^2-y^2}extreme points

f (x) = f (x, y) = 7 (x - y) e^{- x^{2} - y^{2}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-6e^{-x^2} ?
The extreme f(x)=-6e^{-x^2} is Minimum(0,-6)