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Popular >

extreme-5x^6ln(x)

Solution

extreme points

- 5 x^{6} ln (x)

Solution

Maximum (\frac{1}{6 e}, \frac{5}{6 e})

Solution steps

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

Find intervals:

Increasing

: 0 < x < \frac{1}{6 e},

Decreasing

: \frac{1}{6 e} < x < \infty

Plug

x = \frac{1}{6 e}

into

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

Maximum (\frac{1}{6 e}, \frac{5}{6 e})

Graph

Popular Examples

extreme f(x)=4x^3-6x^2y+12x^2-12y^2 extreme points

f (x) = 4 x^{3} - 6 x^{2} y + 12 x^{2} - 12 y^{2}

extreme f(x)=7+54x-2x^3 extreme points

f (x) = 7 + 54 x - 2 x^{3}

extreme f(x)=(2+x)^2(1-x)^2 extreme points

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

extreme y=6x-ln(6x)extreme points

y = 6 x - ln (6 x)

extreme f(x)=7+81x-3x^3 extreme points

f (x) = 7 + 81 x - 3 x^{3}

Frequently Asked Questions (FAQ)

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