What is derivative of f(x)=500-y-(4y)/(y+3) ?

The answer to derivative of f(x)=500-y-(4y)/(y+3) is (dy)/(dx)=0

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derivative of f(x)=500-y-(4y)/(y+3)

derivative of

f (x) = 500 - y - \frac{4 y}{y + 3}

\frac{d y}{d x} = 0

Solution steps

f (x) = 500 - y - \frac{4 y}{y + 3}

Treat

y

y (x)

Differentiate both sides:

0 = \frac{- y ^{2} \frac{d y}{d x} - 6 y \frac{d y}{d x} - 21 \frac{d y}{d x}}{( y + 3 ) ^{2}}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 0

\frac{d y}{d x} = 0

What is derivative of f(x)=500-y-(4y)/(y+3) ?
The answer to derivative of f(x)=500-y-(4y)/(y+3) is (dy)/(dx)=0