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Derivative is technique to measure the Change in dependent variable with respect to independent variable when it simple or one independent variable in model In other words , it is use to measure the average rate of change or slope between two points is simply called derivative
If function is y=f(x) then dx/dy is derivative .
But in respect of differential dy/dx is being as a Ratio of dy and dx.
IF three variable are so attached that y=f(x) and x=f(w) and we want to measure the rate of change in" y "with respect to "w" (dy/dw) then we use total derivative