What is the extreme f(x)=4x-24sqrt(x-4) ?

The extreme f(x)=4x-24sqrt(x-4) is Minimum(4,16),Minimum(13,-20)

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extreme f(x)=4x-24sqrt(x-4)

extreme points

f (x) = 4 x - 24 x - 4

Minimum (4, 16), Minimum (13, - 20)

Solution steps

f^{'} (x) = 4 - \frac{12}{x - 4}

Find intervals:

Increasing

: 4 \leq x < \frac{37}{9},

Decreasing

: \frac{37}{9} < x < \infty

Plug

x = 4

into

4 x - 24 x - 4 : 16

Minimum (4, 16)

Plug

x = 13

into

4 x - 24 x - 4 : - 20

Minimum (13, - 20)

Minimum (4, 16), Minimum (13, - 20)

f (x) = [∣ x ∣]

x^{3} - 12 x - 3

f (x) = e^{x} x + 2, 0 \leq x \leq 6

y = \frac{27 x ^{2}}{( 2 - x ) ^{3}}

f (x, y) = 6 x + 6 y + 2 x y - 5 x^{2} - 2 y^{2}

What is the extreme f(x)=4x-24sqrt(x-4) ?
The extreme f(x)=4x-24sqrt(x-4) is Minimum(4,16),Minimum(13,-20)