12.2 Derivatives


• The basic definition of a derivative is,


• First derivatives are often used to get the slope of a function. When this is zero the function may be at a minimum/maximum.


• Notations,


• The basic principles of differentiation are,



• Examples,


• Differentiation rules specific to basic trigonometry and logarithm functions



• L’Hospital’s rule can be used when evaluating limits that go to infinity.



• Some techniques used for finding derivatives are,