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Popular >

extreme-x^2ln(x)

Solution

extreme points

- x^{2} ln (x)

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})

Popular Examples

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

f (x) = \frac{3}{4 x ^{4} - 8 x ^{2}}

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

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

extreme f(x)=x^3-27x,-2<= x<= 4 extreme points

f (x) = x^{3} - 27 x, - 2 \leq x \leq 4

extreme-7x+2 extreme points

- 7 x + 2

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

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

Frequently Asked Questions (FAQ)

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