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Solve the given problems by using implicit differentiation.Two resistors, with resistances $r$ and $r+2,$ are connected in parallel. Their combined resistance $R$ is related to $r$ by the equation $r^{2}=2 r R+2 R-2 r .$ Find $d R / d r$.

Calculus 1 / AB

Chapter 23

The Derivative

Section 8

Differentiation of Implicit Functions

Derivatives

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we are going to do problem number 45 on this question. 32 decisions are joint. Okay. Are we in on our do? So they are joined in parallel, so the expression is given for the resistance. That is run by articles two and by r one plus one by our two. Okay, so it is given that are one is three. Um, on It is also given that that is equal interest distances to So we have to find the value off rt. Okay, we have to find the value of party. So that is just put here. We put area this 11 by two, we put the value Polonia. This will even by three plus one by our two. Okay, so we compare this says one by our tow, this will be equals toe one by two manners one by three. This will give us the value off when we are too. So here we would have won by our two. This will be our six that this is three managed to. So we will get her one by are two physicals toe one by six. Okay, so from here we can write that are too is equals 264 So this is the answer. That's so Thank you

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