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Popular >

extreme 9xln(x)

Solution

extreme points

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)=2tan(x)-3,-pi/3 <= x<= pi/3 extreme points

f (x) = 2 tan (x) - 3, - \frac{π}{3} \leq x \leq \frac{π}{3}

extreme f(x)=(5x)^x extreme points

f (x) = (5 x)^{x}

extreme g(x)=x^{1/3}-x^{-2/3}extreme points

g (x) = x^{\frac{1}{3}} - x^{- \frac{2}{3}}

extreme f(x)=(5x^2)/(x^2-9)extreme points

f (x) = \frac{5 x ^{2}}{x ^{2} - 9}

extreme f(x)=(x-5)^{3/4}extreme points

f (x) = (x - 5)^{\frac{3}{4}}

Frequently Asked Questions (FAQ)

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