What is derivative of x=70y-y^2 ?

The answer to derivative of x=70y-y^2 is (dy)/(dx)= 1/(2(35-y))

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derivative of x=70y-y^2

derivative of

x = 70 y - y^{2}

\frac{d y}{d x} = \frac{1}{2 ( 35 - y )}

Solution steps

x = 70 y - y^{2}

Treat

y

y (x)

Differentiate both sides:

1 = 70 \frac{d y}{d x} - 2 y \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{2 ( 35 - y )}

\frac{d y}{d x} = \frac{1}{2 ( 35 - y )}

2 y^{3} x + x^{3} = y^{5} + 12

x^{2} + y^{2} + 10 y = 4

(e^{x})^{2}

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

5 z^{4} + 5

What is derivative of x=70y-y^2 ?
The answer to derivative of x=70y-y^2 is (dy)/(dx)= 1/(2(35-y))