Physics Error Measuremnt

Shouldnt it be Delta R / R = Delta R1 / R1 + Delta R2/R2 ?
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@Gyro Gearloose
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Gamertug
GamertugOP3mo ago
where did this come from , question was asking parallel combination of Resistances R1 = 4 +_ 0.8 R2 = 4 +- 0.4
SIMPle Potato
SIMPle Potato3mo ago
Nope you gotta do implicit differentiation
SIMPle Potato
SIMPle Potato3mo ago
Khan Academy
YouTube
Implicit differentiation | Advanced derivatives | AP Calculus AB | ...
Some relationships cannot be represented by an explicit function. For example, x+y=1. Implicit differentiation helps us find _dy/dx even for relationships like that. This is done using the chain rule, and viewing y as an implicit function of x. For example, according to the chain rule, the derivative of y would be 2y_(dy/dx). Created by Sal ...
Gamertug
GamertugOP3mo ago
why diffrnetiaon i remeber if Z = (x^a y^b)/q^c Then Delta Z / z = a dx /x + b dy/y + cdq/q that does not look diffn to me so why diffn here
SIMPle Potato
SIMPle Potato3mo ago
You took logarithm both side then differentiated in this case
Gamertug
GamertugOP3mo ago
oh so all error cases are diffn only?
SIMPle Potato
SIMPle Potato3mo ago
Yes
Gamertug
GamertugOP3mo ago
ic ok got it dont we apply implicit when the variables are kind of interlocked uh dependant gives some value like x^2 + y^2 = 1 , why we doing that here
Gamertug
GamertugOP3mo ago
wait how is x^2 + y^2 = 1 independant if change x , y changes
SIMPle Potato
SIMPle Potato3mo ago
Bhai r1,r2,req are also dependent right?
Gamertug
GamertugOP3mo ago
no , if we change r2 or r1 , req will change , no condition given on req
SIMPle Potato
SIMPle Potato3mo ago
Ara bhai Firstly ye independence wagerah matter nhi krta eitherway its true Youre just applying chain rule with extended steps
Gamertug
GamertugOP3mo ago
wait lemme try diffn it ook i got that expression by simple diffn thx @SIMPle Potato +solved @SIMPle Potato
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