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Popular >

extreme y=6x-ln(6x)

Solution

extreme points

y = 6 x - ln (6 x)

Solution

Minimum (\frac{1}{6}, 1)

Solution steps

f^{'} (x) = 6 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{6},

Increasing

: \frac{1}{6} < x < \infty

Plug

x = \frac{1}{6}

into

6 x - ln (6 x) : 1

Minimum (\frac{1}{6}, 1)

Graph

Popular Examples

extreme f(x)=7+81x-3x^3 extreme points

f (x) = 7 + 81 x - 3 x^{3}

extreme f(x,y)=7x-8y+2xy-x^2+y^1 extreme points

f (x, y) = 7 x - 8 y + 2 x y - x^{2} + y^{1}

extreme f(x)= 6/x extreme points

f (x) = \frac{6}{x}

extreme f(x,y)=(x-y)(9-xy)extreme points

f (x, y) = (x - y) (9 - x y)

extreme f(x)=x+(49)/x+9,1<= x<= 98 extreme points

f (x) = x + \frac{49}{x} + 9, 1 \leq x \leq 98

Frequently Asked Questions (FAQ)

What is the extreme y=6x-ln(6x) ?
The extreme y=6x-ln(6x) is Minimum(1/6 ,1)