Differentiate

The goal of this task is to differentiate a specific expression according to a specific variable. You can fill in this expression at the expression field and the variable at the variable field. If you want the student to find the $n$-th derivative, you can tick the order box and fill in the number at the appearing field. The default value of this number is $1$.

Integrate, indefinite

The goal of this task is to calculate a specific indefinite integral with respect to a specific variable. You can fill in this integral (without integral sign) in the expression field and the variable in the variable field.

Integrate, definite

The goal of this task is to calculate a specific definite integral with respect to a specific variable. You can fill in this integral (without integral sign and without boundaries) in the expression field, the lower bound at the lower bound field, the upper bound at the upper bound field and the specific variable at the variable field.

Refer to the following interactive exercise to test and inspect the behavior of the task(s).

Interactive student version:

Worked solution: