What is the extreme f(x)=xsqrt(465-x) ?

The extreme f(x)=xsqrt(465-x) is Maximum(310,310sqrt(155)),Minimum(465,0)

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extreme f(x)=xsqrt(465-x)

extreme

Maximum (310, 310155), Minimum (465, 0)

Solution steps

f^{'} (x) = - \frac{3 ( x - 310 )}{2 465 - x}

Find intervals:

Increasing

: - \infty < x < 310,

Decreasing

: 310 < x < 465

Plug

x = 310

into

x 465 - x : 310155

Maximum (310, 310155)

Plug

x = 465

into

x 465 - x : 0

Minimum (465, 0)

Maximum (310, 310155), Minimum (465, 0)

What is the extreme f(x)=xsqrt(465-x) ?
The extreme f(x)=xsqrt(465-x) is Maximum(310,310sqrt(155)),Minimum(465,0)