What is the extreme f(x)=-10xln(-11x) ?

The extreme f(x)=-10xln(-11x) is Minimum(-1/(11e),-(10)/(11e))

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extreme f(x)=-10xln(-11x)

extreme points

f (x) = - 10 x ln (- 11 x)

Minimum (- \frac{1}{11 e}, - \frac{10}{11 e})

Solution steps

f^{'} (x) = - 10 (ln (- 11 x) + 1)

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{11 e},

Increasing

: - \frac{1}{11 e} < x < 0

Plug

x = - \frac{1}{11 e}

into

- 10 x ln (- 11 x) : - \frac{10}{11 e}

Minimum (- \frac{1}{11 e}, - \frac{10}{11 e})

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What is the extreme f(x)=-10xln(-11x) ?
The extreme f(x)=-10xln(-11x) is Minimum(-1/(11e),-(10)/(11e))