Here you will find problems for practicing. Each problem has hints coming
with it that can help you if you get stuck.

Remark concerning limits: If you want to practice the mechanics of various methods
(limit algebra, l'Hospital's rule, cancelling, etc.), go to Basic methods.
If you think that you mastered
those methods and need practice in recognizing which method to use
in a particular limit, go to Common limits. Tougher standard limits
use common methods, but the calculations are more demanding.

- Domain of a function
- Basic properties: symmetry, periodicity, continuity
- 1-1 and inverse function
- Limits of functions:
- Domain and limits at endpoints of intervals
- Graph sketching using transformations

Exercises on related topics are also in Derivatives - Exercises in the
sections
Graphing functions - Individual steps
and in Graphing functions. In
particular we use information on domain and limits there, determine asymptotes
and we also investigate monotonicity and concavity using derivative (the standard
procedure).

Implicit and parametric functions have
their own section in Derivative -
Exercises.