Question

what is the difference between differentiation and partial differentiation

Answer 1

Consider you have a  function f(x) = 2x , Here the number of independent variable is one. (x) So you need to differentiate the function y with respect to x alone. This is just DIFFERENTIATION of y with respect to x.

If you have function in terms of two variables, f(x,y) = 2x + 3y or more, f(x,y,z) = 3x +4y +5z , then the rate of change with respect to each independent variable has to be found. So first we need to PARTIALLY differentiate the function with respect to x alone and again with y alone then we add it to get the total differentiation of the function.

Answer 2

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