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Popular >

extreme 5x^2ln(x)

Solution

extreme points

5 x^{2} ln (x)

Solution

Minimum (\frac{1}{e}, - \frac{5}{2 e})

Solution steps

f^{'} (x) = 5 (2 x ln (x) + x)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

5 x^{2} ln (x) : - \frac{5}{2 e}

Minimum (\frac{1}{e}, - \frac{5}{2 e})

Popular Examples

extreme f(x)=(6x-x^2)extreme points

f (x) = (6 x - x^{2})

extreme f(x,y)=(2xy)/((x-2))extreme points

f (x, y) = \frac{2 x y}{( x - 2 )}

extreme f(x)=-7(x+1)^2+3x+7 extreme points

f (x) = - 7 (x + 1)^{2} + 3 x + 7

extreme y=2x^3-3x+11 extreme points

y = 2 x^{3} - 3 x + 11

extreme y=-x^2+1,-2<= x<= 1 extreme points

y = - x^{2} + 1, - 2 \leq x \leq 1

Frequently Asked Questions (FAQ)

What is the extreme 5x^2ln(x) ?
The extreme 5x^2ln(x) is Minimum(1/(sqrt(e)),-5/(2e))