An example is
This may be
easily differentiated using the rules we have so far:
where we have first applied the sum rule, then the constant multiplier
rule and finally the power rule.
Below, the graph of the function
is shown on the left while its derivative
is shown on the right.
Questions:
 Can you explain the relationship between these
two graphs?
 What does it mean when the derivative is negative and
what does it mean when it is positive?
 What happens at the points where the
derivative is equal to zero?

