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Popular >

extreme y=2x-7ln(x)

Solution

extreme points

y = 2 x - 7 ln (x)

Solution

Minimum (\frac{7}{2}, 7 - 7 ln (\frac{7}{2}))

Solution steps

f^{'} (x) = 2 - \frac{7}{x}

Find intervals:

Decreasing

: 0 < x < \frac{7}{2},

Increasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

2 x - 7 ln (x) : 7 - 7 ln (\frac{7}{2})

Minimum (\frac{7}{2}, 7 - 7 ln (\frac{7}{2}))

Popular Examples

extreme f(x)=(x+2)(x+7)extreme points

f (x) = (x + 2) (x + 7)

extreme f(x)=-2.3 extreme points

f (x) = - 2.3

extreme f(x)=sqrt(4)+6x^2-x^4-2 extreme points

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

extreme f(x)=x^3+12x^2-27x+2,-10<= x<= 0 extreme points

f (x) = x^{3} + 12 x^{2} - 27 x + 2, - 10 \leq x \leq 0

extreme P(X,Y)=30X+10Y extreme points

P (X, Y) = 30 X + 10 Y

Frequently Asked Questions (FAQ)

What is the extreme y=2x-7ln(x) ?
The extreme y=2x-7ln(x) is Minimum(7/2 ,7-7ln(7/2))