Chapter 6: The Instantaneous Rate of Change
1. Given 
2. Use the diff() and D() commands to determine the first and second derivatives of the following:
3. Use the Calculus Palette to determine the first and second derivatives of the following:
4. Determine the nth derivative:
5. There are two tangent lines to 
that passes through the point 
6. Use the DerivativeTutor() to create a plot of 
and the first derivative.
7. Use the DiffTutor() to determine the first derivative of 
8. Given 
and 
:
- 9. Use the Tangent() function to determine the equation of a tangent line to
at 
Verify the solution with a plot.
10. Find the cubic equation 
given there is a maximim at 
and a min at 
.