Last Updated 10/28/2022

Sage Essentials
Section 9: Vector Calculus

The diff Command

Sage can find the derivatives of a function with one or more variables.

Example 1

Find the derivatives of $f\left(x\right)=x\cos x$.

Here are two ways of finding the second derivative of $f\left(x\right)=x\cos x$.

Method I: Use the diff()command twice.

Method II: Use the diff()command with an optional argument indicating the order of the derivative.

Try this!

Compute $f^{\left(4\right)}\left(x\right)$  if  $f\left(x\right)=x\sin x$.