Higher-order Derivatives

We can find the successive derivatives of a function and obtain the higher-order derivatives. If y is a function, then its first derivtive is dy/dx. The second derivative is 

• d / dx . dy / dx

The third derivative is 

• d / dx . d²y / dx²

and so on. Suppose y = 4x³ , we get the successive derivatives as follows.

• y’ = 12x² , y” = 24 x and y”’ = 24, y””= 0.