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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,