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Popular >

extreme f(x)=-3x^2+6x

Solution

extreme points

f (x) = - 3 x^{2} + 6 x

Solution

Maximum (1, 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- 3 x^{2} + 6 x : 3

Maximum (1, 3)

Popular Examples

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

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

extreme f(x,y)=-4y^2-5x^3+13x^2 extreme points

f (x, y) = - 4 y^{2} - 5 x^{3} + 13 x^{2}

extreme f(x,y)=x-1/2 y^2-1/3 x^3+y+6 extreme points

f (x, y) = x - \frac{1}{2} y^{2} - \frac{1}{3} x^{3} + y + 6

extreme f(x)=(4x^2)/(2x-8)extreme points

f (x) = \frac{4 x ^{2}}{2 x - 8}

extreme f(x,y)=x+4/(x^2y)+y extreme points

f (x, y) = x + \frac{4}{x ^{2} y} + y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2+6x ?
The extreme f(x)=-3x^2+6x is Maximum(1,3)