What is the extreme f(x)=100x^{1/2}-10x ?

The extreme f(x)=100x^{1/2}-10x is Maximum(0,0),Maximum(25,250)

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extreme f(x)=100x^{1/2}-10x

extreme points

f (x) = 100 x^{\frac{1}{2}} - 10 x

Maximum (0, 0), Maximum (25, 250)

Solution steps

f^{'} (x) = \frac{50}{x ^{\frac{1}{2}}} - 10

Find intervals:

Decreasing

: 0 \leq x < \frac{1}{25},

Increasing

: \frac{1}{25} < x < \infty

Plug

x = 0

into

100 x^{\frac{1}{2}} - 10 x : 0

Maximum (0, 0)

Plug

x = 25

into

100 x^{\frac{1}{2}} - 10 x : 250

Maximum (25, 250)

Maximum (0, 0), Maximum (25, 250)

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

x^{3} - 5 x^{2} - 8 x + 4

2 cos (3 x - \frac{π}{4})

f (x) = ∣ 1 + cos (3 x) ∣

f (x) = \frac{5 x}{x ^{3} - 8 x ^{2}}

What is the extreme f(x)=100x^{1/2}-10x ?
The extreme f(x)=100x^{1/2}-10x is Maximum(0,0),Maximum(25,250)