What is the extreme f(x)=20x-10sqrt(x-2) ?

The extreme f(x)=20x-10sqrt(x-2) is Minimum(2,40),Maximum(33/16 , 155/4)

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extreme f(x)=20x-10sqrt(x-2)

extreme

Minimum (2, 40), Maximum (\frac{33}{16}, \frac{155}{4})

Solution steps

f^{'} (x) = 20 - \frac{5}{x - 2}

Find intervals:

Increasing

: 2 \leq x < 18,

Decreasing

: 18 < x < \infty

Plug

x = 2

into

20 x - 10 x - 2 : 40

Minimum (2, 40)

Plug

x = \frac{33}{16}

into

20 x - 10 x - 2 : \frac{155}{4}

Maximum (\frac{33}{16}, \frac{155}{4})

Minimum (2, 40), Maximum (\frac{33}{16}, \frac{155}{4})

What is the extreme f(x)=20x-10sqrt(x-2) ?
The extreme f(x)=20x-10sqrt(x-2) is Minimum(2,40),Maximum(33/16 , 155/4)