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Popular >

extreme f(x)=7xln(x)

Solution

extreme points

f (x) = 7 x ln (x)

Solution

Minimum (\frac{1}{e}, - \frac{7}{e})

Solution steps

f^{'} (x) = 7 (ln (x) + 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

7 x ln (x) : - \frac{7}{e}

Minimum (\frac{1}{e}, - \frac{7}{e})

Popular Examples

extreme f(x)=x^2+xy+y^2-16y+85 extreme points

f (x) = x^{2} + x y + y^{2} - 16 y + 85

extreme f(x,y)=7-x^4+2x^2-y^2 extreme points

f (x, y) = 7 - x^{4} + 2 x^{2} - y^{2}

extreme x+1 extreme points

x + 1

extreme f(x,y)=x^2+y^2-8y+16 extreme points

f (x, y) = x^{2} + y^{2} - 8 y + 16

extreme (3x-6)/(x+2)extreme points

\frac{3 x - 6}{x + 2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=7xln(x) ?
The extreme f(x)=7xln(x) is Minimum(1/e ,-7/e)