Find dydt for the equation below.

7x3+7y3=9

dy/dt = -x^2/y^2  dx/dt

Step-by-step explanation:

7x^3 + 7y^3 = 0

Take the derivative with respect to t

7 * 3x^2 dx/dt + 7 * 3y^2 dy/dt = 0

21 x^2 dx/dt +21  y^2 dy/dt =0

Divide each side by 21

x^2 dx/dt+ y^2 dy/dt =0

Subtract x^2 dx/dt from each side

x^2 dx/dt  - x^2 dx/dt+y^2 dy/dt = -x^2 dx/dt

y^2 dy/dt = -x^2 dx/dt

Divide each side by y^2

y^2 /y^2 dy/dt = -x^2/y^2 dx/dt

dy/dt = -x^2/y^2  dx/dt

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step-by-step explanation: