As before, multiple derivatives are indicated by following the variable with a comma and a number. The advanced differentiate command also allows you to specify any dependencies of functions which appear in your expression. The differentiate command handles arbitrary functional dependencies properly using the chain rule. Here are some examples illustrating the types of expressions you can use the differentiate command on and the results which QuickMath will return. The functions option allows you to specify the dependencies of any arbitrary functions which appear in the expression being differentiated.
Functions can also depend on other functions.
For instance, suppose that f depends on both x and y, whilst x and y themselves depend on t. If you use arbitrary functions within your expression, there may be derivatives in the answer returned by QuickMath. Copyright 1999 QuickMath. All rights reserved. All rights reserved.