What is the extreme f(x)=x-4sqrt(x) ?

The extreme f(x)=x-4sqrt(x) is Minimum(0,0),Minimum(4,-4)

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extreme f(x)=x-4sqrt(x)

extreme

Minimum (0, 0), Minimum (4, - 4)

Solution steps

f^{'} (x) = 1 - \frac{2}{x}

Find intervals:

Increasing

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

Decreasing

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

Plug

x = 0

into

x - 4 x : 0

Minimum (0, 0)

Plug

x = 4

into

x - 4 x : - 4

Minimum (4, - 4)

Minimum (0, 0), Minimum (4, - 4)

What is the extreme f(x)=x-4sqrt(x) ?
The extreme f(x)=x-4sqrt(x) is Minimum(0,0),Minimum(4,-4)