part (i) is done, please provide full solution of part (ii) using equation(2)

Three resistors R1, R23. R3 are connected in parallel in a circuit. Their equivalent total resistance can be computed from 1 i + i + i (1) R _ R1 122 R3 R1 R2 R3 =>R= 2 Rle + R1R3 + R2R3 ( ) {i} Use implicit differentiation 0n equatiort {1) to show that the rate of change of total resistance R . . R 2 due to a change 1n R1 rs (131) . (ii) Show that the same result is obtained by taking the partial deriVative of equation [2) with respect H) R]. R RI + R2 R's (1) d.R i. The rate of change of R due to a change in R, is given by dR] . When the change in R has to be estimated due to change in Ry only, that means R2 and Rs remains constant. Hence, equation (1) can be rewritten as + C where C = RZ + R a constant. R1 . we have Differentiating with respect to R, using chain rule for R and d - + ) dR1 R . = d dR1 RI dR = d d C [ chain rule for 1/R as 1/R is function of R ] aR R) ' DR1 d.R 1 + 0 (- [ derivative of a constant is 0 ] DR1 dk [ multiplying each side by -R2 ] DR1 dR R DR1