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Popular >

extreme 6sqrt(x)-6x

Solution

extreme points

6 x - 6 x

Solution

Maximum (0, 0), Minimum (\frac{1}{4}, \frac{3}{2})

Solution steps

f^{'} (x) = \frac{3}{x} - 6

Find intervals:

Decreasing

: 0 \leq x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

6 x - 6 x : 0

Maximum (0, 0)

Plug

x = \frac{1}{4}

into

6 x - 6 x : \frac{3}{2}

Minimum (\frac{1}{4}, \frac{3}{2})

Maximum (0, 0), Minimum (\frac{1}{4}, \frac{3}{2})

Popular Examples

extreme f(x,y)=11x^3-33xy+11y^3 extreme points

f (x, y) = 11 x^{3} - 33 x y + 11 y^{3}

extreme f(x)=x^3+y^2-3x^2-3y^2-9x extreme points

f (x) = x^{3} + y^{2} - 3 x^{2} - 3 y^{2} - 9 x

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

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

extreme f(x,y)=x^3+y^3-243x-27y-2 extreme points

f (x, y) = x^{3} + y^{3} - 243 x - 27 y - 2

extreme F(x,y)=3y^2-2y^2-3x^2+6xy extreme points

F (x, y) = 3 y^{2} - 2 y^{2} - 3 x^{2} + 6 x y

Frequently Asked Questions (FAQ)

What is the extreme 6sqrt(x)-6x ?
The extreme 6sqrt(x)-6x is Maximum(0,0),Minimum(1/4 , 3/2)