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Popular >

extreme f(x)=xln(7x)

Solution

extreme points

f (x) = x ln (7 x)

Solution

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Solution steps

f^{'} (x) = ln (7 x) + 1

Find intervals:

Decreasing

: 0 < x < \frac{1}{7 e},

Increasing

: \frac{1}{7 e} < x < \infty

Plug

x = \frac{1}{7 e}

into

x ln (7 x) : - \frac{1}{7 e}

Minimum (\frac{1}{7 e}, - \frac{1}{7 e})

Popular Examples

domain of f(x)= 4/(sqrt(x^2-1))domain

f (x) = \frac{4}{x ^{2} - 1}

domain of f(x)=(43)/(7x-26)domain

f (x) = \frac{43}{7 x - 26}

slope ofintercept x-y=2 slope intercept

x - y = 2

inverse of f(x)=sqrt(x-2)inverse

f (x) = x - 2

domain of y=sqrt(6+x)domain

y = 6 + x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xln(7x) ?
The extreme f(x)=xln(7x) is Minimum(1/(7e),-1/(7e))