What is the extreme f(x)=-5x^6ln(x) ?

The extreme f(x)=-5x^6ln(x) is Maximum(1/(\sqrt[6]{e)}, 5/(6e))

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extreme f(x)=-5x^6ln(x)

extreme points

f (x) = - 5 x^{6} ln (x)

Solution steps

f^{'} (x) = - 5 (6 x^{5} ln (x) + x^{5})

Find intervals:

Increasing

Decreasing

Plug

into

- 5 x^{6} ln (x) : \frac{5}{6 e}

E (a, b) = (2 a + b)^{2} - (a + b) (a - b)

f (x, y) = x^{2} - y^{2} + 1

y = x^{4} - 3 x^{2} = x^{2} (x^{2} - 3)

f (x) = x^{2} + y^{2} + x^{2} y + 4

f (x) = \frac{1}{3} x^{3} + 5 x^{2} + 24 x + 7

What is the extreme f(x)=-5x^6ln(x) ?
The extreme f(x)=-5x^6ln(x) is Maximum(1/(\sqrt[6]{e)}, 5/(6e))