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Popular >

extreme y=x(6-2x)^2

Solution

extreme points

y = x (6 - 2 x)^{2}

Solution

Maximum (1, 16), Minimum (3, 0)

Solution steps

f^{'} (x) = 12 (x - 3) (x - 1)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

x (6 - 2 x)^{2} : 16

Maximum (1, 16)

Plug

x = 3

into

x (6 - 2 x)^{2} : 0

Minimum (3, 0)

Maximum (1, 16), Minimum (3, 0)

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extreme f(x)=-0.03x^2+300x-100000 extreme points

f (x) = - 0.03 x^{2} + 300 x - 100000

extreme f(x)=x^{1/3}(x-4),-125<= x<= 125 extreme points

f (x) = x^{\frac{1}{3}} (x - 4), - 125 \leq x \leq 125

extreme x(16-2x)extreme points

x (16 - 2 x)

extreme f(x)=(ln(x))/x+1 extreme points

f (x) = \frac{ln ( x )}{x} + 1

Frequently Asked Questions (FAQ)

What is the extreme y=x(6-2x)^2 ?
The extreme y=x(6-2x)^2 is Maximum(1,16),Minimum(3,0)