Derivative of an implicitly defined function

[mmdhpeyman]

please find it step by step:

 

[Romsek]

1) use fundamental theorem of calculus to differentiate those integrals with respect to time. Assume y and x are functions of time

2) use algebra to rearrange things until you have [MATH]\dfrac{\dfrac{dy}{dt}}{\dfrac{dx}{dt}} = \dfrac{dy}{dx}[/MATH] on one side of the equation.

3) you're done

 

[Steven G]

please find it step by step:

View attachment 24218

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