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Popular >

extreme xsqrt(36-x)

Solution

extreme points

x 36 - x

Solution

Maximum (24, 483), Minimum (36, 0)

Solution steps

f^{'} (x) = - \frac{3 ( x - 24 )}{2 36 - x}

Find intervals:

Increasing

: - \infty < x < 24,

Decreasing

: 24 < x < 36

Plug

x = 24

into

x 36 - x : 483

Maximum (24, 483)

Plug

x = 36

into

x 36 - x : 0

Minimum (36, 0)

Maximum (24, 483), Minimum (36, 0)

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Frequently Asked Questions (FAQ)

What is the extreme xsqrt(36-x) ?
The extreme xsqrt(36-x) is Maximum(24,48sqrt(3)),Minimum(36,0)