In this tutorial we shall find the higher order derivatives. We have already seen how differentiation applied to a suitable function yields as a result another function , which assign a function of . If is itself differentiable, then a repetition of differentiation will result in another function that we shall denote by and will call the second derivative of with respect to .
Using the definition of the derivative, we have
Similarly, the third and the fourth derivatives are defined by
The successive derivatives of the function are denoted by