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Rules of Differentiation Rules of Differentiation Differentiation is a process used to find a derivative of function where derivative means rate of change with respect to some variable like derivative of f(x) with respect to 'x' is - d (f(x) dx There are some rules of differentiation, they are given as: Differentiation in linear functions:d (a.f(x)) = a.f1(x) dxd (f(x) + g(x)) = f1(x) + g1(x) here g1and f1 is derivatives with respect to x dx Product rule :d (fg) = f.g1 + g.f1 dx Divide rule : d ( f ) = g.f’ - f.g’ dx g g2 Chain rule : d (f (g(x))) = f1(g(x)) . g1(x) dx These are basic differentiation rules for determining the derivative of a function Know More About Application of Differentiation


Topics Covered in Rules of Differentiation Elementary Rules of differentiation The different Elementary Rules of differentiation are used to solve different differential equations. According to elementary rules of differentiation there are following formulas: 1. d (x^n) /dx = n . x^(n-... Power Law, Polynomials, Quotients and Reciprocals in Calculus Calculus is used for counting and it contains many procedures and methods, Power law-: we use power law in those situations where we are showing a special kind of mathematical relationship... Derivatives of exponential and logarithmic derivatives Derivatives of logarithmic and exponential functions is an important topic of calculus mathematics. We generally denote the logarithmic function in the base e as ln x. So, the derivative of logarit...

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Rules of Differentiation