Differentiation of Polynomials


the process of finding the gradient or derived function is called differentiation.

for a function f(x) the derived function is given by f '(x).

an alternative notation is that for a function y the derived function is y ' or 

polynomial functions are differentiated term by term.

terms must be written in index form before they are able to be differentiated.

Key Skills

  • differentiate a polynomial
  • differentiate expressions involving brackets, roots and terms with negative indices


differentiationderived functioncoefficientexponent,polynomial.