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Popular >

extreme f(x)=3x^4

Solution

extreme points

f (x) = 3 x^{4}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = 12 x^{3}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

3 x^{4} : 0

Minimum (0, 0)

Popular Examples

extreme f(x,y)=x^3+3y^3+3x^2+3y^2+24 extreme points

f (x, y) = x^{3} + 3 y^{3} + 3 x^{2} + 3 y^{2} + 24

extreme f(x)=sqrt(36-9x^2-4y^2)extreme points

f (x) = 36 - 9 x^{2} - 4 y^{2}

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

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

extreme f(x)=2x^2(1-x^2)extreme points

f (x) = 2 x^{2} (1 - x^{2})

extreme f(x)=x^2+sqrt(y)extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^4 ?
The extreme f(x)=3x^4 is Minimum(0,0)