What is implicit (dy)/(dx),y^2=12x ?

The answer to implicit (dy)/(dx),y^2=12x is (dy)/(dx)= 6/y

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implicit (dy)/(dx),y^2=12x

implicit derivative

\frac{d y}{d x}, y^{2} = 12 x

\frac{d y}{d x} = \frac{6}{y}

Solution steps

y^{2} = 12 x

Treat

y

y (x)

Differentiate both sides:

2 y \frac{d y}{d x} = 12

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{6}{y}

\frac{d y}{d x} = \frac{6}{y}

\int 2 x e - 2 x d x

\int x^{2} + y d x

y = (x - 1)^{3} (x + 2)^{4}

y = cot^{2} (π x)

y^{^{'}} + 3 y = 0

What is implicit (dy)/(dx),y^2=12x ?
The answer to implicit (dy)/(dx),y^2=12x is (dy)/(dx)= 6/y