Return to Assignments Product and Quotient rule

### Assignment 13

Differentiate:

### Solution

We can differentiate this function in two different ways. We can either use the quotient rule or the product rule.

If we would use the quotient rule we take:

and:

Because:

and:

we can write, using the quotient rule:

We can also use the product rule, but then we have to rewrite the function as follows:

and apply the product rule:

Sometimes it is profitable to write the quotient as a product, in other cases it is better to apply the quotient rule. It depends on the expected amount of work.

Return to Assignments Product and Quotient rule