What is the extreme f(x)=(60-2x)(30-x)x ?

The extreme f(x)=(60-2x)(30-x)x is Maximum(10,8000),Minimum(30,0)

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extreme f(x)=(60-2x)(30-x)x

extreme points

f (x) = (60 - 2 x) (30 - x) x

Maximum (10, 8000), Minimum (30, 0)

Solution steps

f^{'} (x) = 6 (x - 30) (x - 10)

Find intervals:

Increasing

: - \infty < x < 10,

Decreasing

: 10 < x < 30,

Increasing

: 30 < x < \infty

Plug

x = 10

into

(60 - 2 x) (30 - x) x : 8000

Maximum (10, 8000)

Plug

x = 30

into

(60 - 2 x) (30 - x) x : 0

Minimum (30, 0)

Maximum (10, 8000), Minimum (30, 0)

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

f (x) = \frac{1}{x ^{2} + 4}

y = - x^{2} + 25

f (x) = 3 + 7 x + 175 x^{- 1}

\frac{1}{x ^{2} - x - 6}

What is the extreme f(x)=(60-2x)(30-x)x ?
The extreme f(x)=(60-2x)(30-x)x is Maximum(10,8000),Minimum(30,0)