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Chain Rule with Dependent Variables
CHAIN RULE WITH DEPENDENT VARIABLES Let x = f(t), y = g(t) = G(x). Assume g'(t) and G'(x) exist. Then where dx/dt, dy/dt are computed with t as the independent variable, and dy/dx is computed with x as the independent variable. Let us work Examples 1 and 2 again with dependent variables.


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