The differentiation of a function of x discussed so far in terms of dy/dx is a differentiation of the first order. When the differentiation is carried out successively to any higher order viz. d²y/dx² , d³y/dx³ , d^{4}y/dx^{4} , d^{n}y/dx^{n} it is called a differentiation of higher order, Finding of any higher order differentiation of any function say x, is possible because the derivative of a function is also a function of x. Thus, when y =x^{7} and dy/dx = 7x^{6},