- Enter the expression
,
- a)
- Compute the derivative and label the derivative using a variable name.
- b)
- Evaluate the derivative at , , and .
- c)
- Plot the expression over the interval . Using this plot, can you explain why the expression was not differentiable at one of the values given above?

- Find the equation of the line tangent to the function
at . When calculating the derivative at a point, use the command. Include a plot of the function and the tangent line on the same graph over the interval
.
- For the same function
,
- a)
- Plot over the interval and state how many horizontal tangent lines to the graph there are.
- b)
- Plot the derivative of over the same interval. Explain how this supports your answer above.
- c)
- Labeling each
`fsolve`command, find the values where a horizontal tangent line is located. Find the corresponding values. State in text all points on the graph of where the tangent line is horizontal.

2012-01-25