What is implicit (dy)/(dx),4x^2+6y^2=24x ?

The answer to implicit (dy)/(dx),4x^2+6y^2=24x is (dy)/(dx)=(2(-x+3))/(3y)

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implicit (dy)/(dx),4x^2+6y^2=24x

implicit derivative

\frac{d y}{d x}, 4 x^{2} + 6 y^{2} = 24 x

\frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

Solution steps

4 x^{2} + 6 y^{2} = 24 x

Treat

y

y (x)

Differentiate both sides:

8 x + 12 y \frac{d y}{d x} = 24

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

\frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

What is implicit (dy)/(dx),4x^2+6y^2=24x ?
The answer to implicit (dy)/(dx),4x^2+6y^2=24x is (dy)/(dx)=(2(-x+3))/(3y)