Derivatives - Exercises

If you want to refer to sections of Methods Survey while working the exercises, you can click here and it will appear in a separate full-size window. Similarly, here we offer Theory.

• Calculating derivative: basic methods
• Calculating derivative: standard problems
• Calculating derivative: inverse, implicit and parametric functions
• Tangents and normals, Taylor polynomial and approximation.
• Global extrema and optimization; related rates.
• Applications of MVT: using derivative to compare functions, prove inequalities and count roots.
• Graphing functions: individual basic steps - asymptotes, monotonicity, concavity (for domain and limits see Functions - Exercises).
• Graphing functions
• Implicit and parametric functions