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Popular Functions >

extreme-x^2ln(x)

Solution

extreme

Solution

Maximum (\frac{1}{e}, \frac{1}{2 e})

Solution steps

f^{'} (x) = - 2 x ln (x) - x

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{e}

into

- x^{2} ln (x) : \frac{1}{2 e}

Maximum (\frac{1}{e}, \frac{1}{2 e})

Graph

Popular Examples

extreme f(x)= 3/(4x^4-8x^2)

extreme f(x)=x^3-45x^2+243x+30000

extreme f(x)= 1/4 x^4-3x^3+4x^2

extreme f(x)=-x^3+27x-63

Frequently Asked Questions (FAQ)

What is the extreme-x^2ln(x) ?
The extreme-x^2ln(x) is Maximum(1/(sqrt(e)), 1/(2e))