We have seen, in the first three Sections, how standard functions like , , , , may be differentiated.
In this Section we see how more complicated functions may be differentiated. We concentrate, for the moment, on products and quotients of standard functions like , .
We will see that two simple rules may be consistently employed to obtain the derivatives of such functions.
- be able to differentiate the standard functions: logarithms, polynomials, exponentials, and trigonometric functions
- be able to manipulate algebraic expressions
- differentiate products and quotients of the standard functions
- differentiate a quotient using the product rule