What is the extreme y=xsqrt(5-x) ?

The extreme y=xsqrt(5-x) is Maximum(10/3 ,(10sqrt(5))/(3sqrt(3))),Minimum(5,0)

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extreme y=xsqrt(5-x)

extreme points

y = x 5 - x

Maximum (\frac{10}{3}, \frac{10 5}{3 3}), Minimum (5, 0)

Solution steps

f^{'} (x) = \frac{- 3 x + 10}{2 5 - x}

Find intervals:

Increasing

: - \infty < x < \frac{10}{3},

Decreasing

: \frac{10}{3} < x < 5

Plug

x = \frac{10}{3}

into

x 5 - x : \frac{10 5}{3 3}

Maximum (\frac{10}{3}, \frac{10 5}{3 3})

Plug

x = 5

into

x 5 - x : 0

Minimum (5, 0)

Maximum (\frac{10}{3}, \frac{10 5}{3 3}), Minimum (5, 0)

f (x) = 144 - x^{2}

f (x) = \frac{x ^{3} - 4}{x ^{2}}

f (x) = x^{3} + 3 x^{2} - 45 x + 6

- cos^{2} (x) - cos (x)

g (x, y) = 1 - (x + y)

What is the extreme y=xsqrt(5-x) ?
The extreme y=xsqrt(5-x) is Maximum(10/3 ,(10sqrt(5))/(3sqrt(3))),Minimum(5,0)