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

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

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

extreme points

f (x) = 4 x - x

Maximum (0, 0), Maximum (4, 4)

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = 0

into

4 x - x : 0

Maximum (0, 0)

Plug

x = 4

into

4 x - x : 4

Maximum (4, 4)

Maximum (0, 0), Maximum (4, 4)

f (x) = x^{3} - 9 x^{2} + 6

f (x) = x^{3} - 9 x^{2} + 7

30 x^{3} - 19 x^{2} - 14 x + 8

f (x) = x^{3} - 2

f (x) = 1 - x^{2}, 0 \leq x \leq 1

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