If so, you can differentiate it with respect to Vd to prove Rd=\frac{Vt}{Id}.

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To differentiate the equation Id=Is*e^(Vd/Vt) with respect to Vd, apply the chain rule, resulting in dId/dVd = (Is/Vt)e^(Vd/Vt). This leads to the relationship Rd = Vt/Id, confirming the desired proof. The discussion emphasizes the importance of correctly applying differentiation rules, particularly for exponential functions. Additionally, it highlights the connection between current (I), voltage (V), and resistance (R) in electrical circuits. The conversation ultimately aims to clarify the mathematical proof of the relationship between Rd and Id.
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differentiate requested please

i want to differentiate this equation Id=IsxexponentVd/Vt with respect to Vd to prove Rd=Vt/Id
 
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Remember that the derivative with respect to x of e^(kx) is ke^(kx) using the chain rule. Also remember that V=iR.
 


Does your equation look like as,
Id=Ise\frac{V<sub>d</sub>}{V<sub>t</sub>} ?
 

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