Now that we have explored derivatives, we can now progress to the rules of differentiation. These rules are simply formulas that instruct the learner how to compute derivatives depending on a given function.
This next rule is more complex than the sum/difference rule or the power rule, but is very useful. Let's say we have a function h(x) that is the quotient of two functions h(x)=f(x)/g(x), then to find the derivative of h(x), we use the following rule
Consider the following graphs of functions and their respective derivatives as illustrations of the rule. It is highly suggested that you verify the derivative.
The following graph illustrates the function and its derivative .
The following graph illustrates the function and its derivative