Step 1

To define: Higher Order Derivatives

Step 2

The first derivative of a function f(x) is another function f'(x)

The derivative of f'(x) is referred to as second order derivative f''(x)

This differentiation process can be continued to find the third, fourth, and successive derivatives of f( x), which are called higher order derivatives of f(x).

Example nth order derivative of f(x) will be \(\displaystyle{{f}^{{n}}{\left({x}\right)}}\)

To define: Higher Order Derivatives

Step 2

The first derivative of a function f(x) is another function f'(x)

The derivative of f'(x) is referred to as second order derivative f''(x)

This differentiation process can be continued to find the third, fourth, and successive derivatives of f( x), which are called higher order derivatives of f(x).

Example nth order derivative of f(x) will be \(\displaystyle{{f}^{{n}}{\left({x}\right)}}\)