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,