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Popular >

extreme 16x-4ln(x)

Solution

extreme points

16 \cdot x - 4 \cdot ln (x)

Solution

Minimum (\frac{1}{4}, 4 + 8 ln (2))

Solution steps

f^{'} (x) = 16 - \frac{4}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{4},

Increasing

: \frac{1}{4} < x < \infty

Plug

x = \frac{1}{4}

into

16 \cdot x - 4 \cdot ln (x) : 4 + 8 ln (2)

Minimum (\frac{1}{4}, 4 + 8 ln (2))

Popular Examples

extreme f(x,y,z)=64 extreme points

f (x, y, z) = 64

extreme f(x)=(16)/x+2pix^2 extreme points

f (x) = \frac{16}{x} + 2 π x^{2}

extreme y=x+9/x-4 extreme points

y = x + \frac{9}{x} - 4

extreme y=1990+550ln(x)extreme points

y = 1990 + 550 ln (x)

extreme f(x)=((15/4)x)+(5x^3)-(90x^2)+15 extreme points

f (x) = ((\frac{15}{4}) x) + (5 x^{3}) - (90 x^{2}) + 15

Frequently Asked Questions (FAQ)

What is the extreme 16*x-4*ln(x) ?
The extreme 16*x-4*ln(x) is Minimum(1/4 ,4+8ln(2))