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 $\dfrac {d}{dx}(x^n) = nx^{n-1}$ where $x$ is a variable and $n$ is a number.
• A derivative of a sum of monomials is the sum of the derivatives.
• The formula for differentiating an exponential function is $\dfrac {d}{dx}(a^x) = a^x \ln (a)$.
• The formula for differentiating a logarithmic function is $\dfrac {d}{dx}(\log _a(x)) = \dfrac {1}{x \ln (a)}$, where $a$ is a number and $x$ is a variable.
• The following formulas express the derivatives of sine and cosine respectively:

  $\dfrac {d}{dx} \sin (x) = \cos (x)$

  $\dfrac {d}{dx} \cos (x) = - \sin (x)$