Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.

  • The derivative of a constant function is zero because constant functions have a rate of change of zero at all input values in their domain.
  • The power rule says where is a variable and is a number.
  • A derivative of a sum of monomials is the sum of the derivatives.
  • The formula for differentiating an exponential function is .
  • The formula for differentiating a logarithmic function is , where is a number and is a variable.
  • The following formulas express the derivatives of sine and cosine respectively: