i dont really understand when you differentiate both sides of an equation to, for example, time.(adsbygoogle = window.adsbygoogle || []).push({});

like, if you have tan(x)=y/50,

you would get sec^2(x)dx/dt=1/50*(dy/dt)

so does that mean when you differentiate both sides you find the derivative of the whole term and then multiply it by dwhatever/dt?

the book im looking at is just a review for calculus, its only got a short sentence here about this, and its confusing

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