What is the extreme xsqrt(5-x) ?

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

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extreme xsqrt(5-x)

extreme points

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)

- x^{3} + 6 x^{2} - 9 x

ln (u)

f (x) = 18 y^{2} + x^{2} - x^{2} y

y e^{x^{2} - y^{2}}

P (x, y) = 3 x^{2} y + 4 x y^{2} - y^{4}

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