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Popular >

extreme f(x)=3x^2-12x

Solution

extreme points

f (x) = 3 x^{2} - 12 x

Solution

Minimum (2, - 12)

Solution steps

f^{'} (x) = 6 x - 12

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

3 x^{2} - 12 x : - 12

Minimum (2, - 12)

Graph

Popular Examples

extreme f(x)=2x^4+16x^3+27 extreme points

f (x) = 2 x^{4} + 16 x^{3} + 27

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

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

extreme f(x,y)=2x^3+y^3+3x^2-3y-12x-4 extreme points

f (x, y) = 2 x^{3} + y^{3} + 3 x^{2} - 3 y - 12 x - 4

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

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

extreme f(x,y)= 1/2 xy extreme points

f (x, y) = \frac{1}{2} x y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-12x ?
The extreme f(x)=3x^2-12x is Minimum(2,-12)