12.2 Derivatives

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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,