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Popular >

extreme y=3xln(x)

Solution

extreme points

y = 3 x ln (x)

Solution

Minimum (\frac{1}{e}, - \frac{3}{e})

Solution steps

f^{'} (x) = 3 (ln (x) + 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

3 x ln (x) : - \frac{3}{e}

Minimum (\frac{1}{e}, - \frac{3}{e})

Popular Examples

extreme f(x)=(100000)/x+75000+1000x extreme points

f (x) = \frac{100000}{x} + 75000 + 1000 x

extreme y=e^x-3e^{-x}-4x extreme points

y = e^{x} - 3 e^{- x} - 4 x

extreme f(x)=-6x^3-54x^2-144x-90 extreme points

f (x) = - 6 x^{3} - 54 x^{2} - 144 x - 90

extreme f(x,y)=sqrt(25-x^2-y^2)extreme points

f (x, y) = 25 - x^{2} - y^{2}

extreme f(x)=((x+y-xy)/(x-y+xy))extreme points

f (x) = (\frac{x + y - x y}{x - y + x y})

Frequently Asked Questions (FAQ)

What is the extreme y=3xln(x) ?
The extreme y=3xln(x) is Minimum(1/e ,-3/e)