Derivatives

Polynomials

A derivative is a slope.
Notation: The derivative of → picture

For calculating derivatives of ordinary polynomials of x to a power use the following basic formula:

picture picture

For example:

1.1   picture picture
      picture

1.2   picture
      picture 

1.3   picture
      picture

1.4   picture
      picture

(any term without an x will drop out as seen with the +6 in this equation)

For practice, find the derivative of the following:

1.5   picture
      picture

1.6   picture
      picture

1.7   picture (picture
      picture

1.8   picture
      picture

1.9   picture
      picture