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Popular >

extreme e^{3x^2}

Solution

extreme points

e^{3 x^{2}}

Solution

Minimum (0, 1)

Solution steps

f^{'} (x) = e^{3 x^{2}} \cdot 6 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

e^{3 x^{2}} : 1

Minimum (0, 1)

Popular Examples

extreme f(x)=4-5x^2 extreme points

f (x) = 4 - 5 x^{2}

extreme f(x)=sqrt(12+x)+sqrt(24-x)extreme points

f (x) = 12 + x + 24 - x

extreme f(x)=-1/12 x^3+x-1/3 extreme points

f (x) = - \frac{1}{12} x^{3} + x - \frac{1}{3}

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

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

extreme f(x,y)= 1/2 x^2-xy+1/3 y^3 extreme points

f (x, y) = \frac{1}{2} x^{2} - x y + \frac{1}{3} y^{3}

Frequently Asked Questions (FAQ)

What is the extreme e^{3x^2} ?
The extreme e^{3x^2} is Minimum(0,1)