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Popular >

extreme f(x)=9xln(x)

Solution

extreme points

f (x) = 9 x ln (x)

Solution

Minimum (\frac{1}{e}, - \frac{9}{e})

Solution steps

f^{'} (x) = 9 (ln (x) + 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

9 x ln (x) : - \frac{9}{e}

Minimum (\frac{1}{e}, - \frac{9}{e})

Graph

Popular Examples

extreme f(x)=8x+9x^{8/9}extreme points

f (x) = 8 x + 9 x^{\frac{8}{9}}

extreme f(x,y)=3x^2-2xy+y^2-8y extreme points

f (x, y) = 3 x^{2} - 2 x y + y^{2} - 8 y

extreme f(x)=-5x+3ln(4x)extreme points

f (x) = - 5 x + 3 ln (4 x)

extreme f(x,y)=xy+4x extreme points

f (x, y) = x y + 4 x

extreme g(t)=3[u(t-6)-u(t-7)]extreme points

g (t) = 3 [u (t - 6) - u (t - 7)]

Frequently Asked Questions (FAQ)

What is the extreme f(x)=9xln(x) ?
The extreme f(x)=9xln(x) is Minimum(1/e ,-9/e)