Compute the nth Derivative of a Function
Version 12 provides enhanced functionality for computing derivatives of functions and operators. Here, the new support for computing derivatives of symbolic order using D is illustrated, as well as a dramatic improvement in the speed of computing higher-order derivatives.
Compute the 
th derivative of Cos.
Compute the first four derivatives of Cos using the general formula.
Compute the billionth derivative of Cos with blinding speed.
Compute the 
th derivative of ArcTan.
Obtain elementary answers for specific values of 
.
Generate a gallery of 
th derivatives.
show complete Wolfram Language input
Version 12 returns simpler answers for the higher derivatives of special functions such as BesselJ by using the three-term recursion formulas for these functions.
