Differentiation of Higher Order
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 , d4y/dx4 , dny/dxn 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 =x7 and dy/dx = 7x6,
