Padeepz E-Learning Materials MA8151 Engineering Mathematics 1

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Partial derivatives:-

A partial derivative of a function of several variables is the ordinary derivative with respect to one of the variables, when all the remaining variables are kept constant. Consider a function u=f(x,y). Here , u is the dependent variable and x & y are independent variables. The partial derivative of u=f(x,y) with respect to x is the ordinary derivative of u w.r.to x, keeping y constant. It is denoted by