Math
Calculus I
Train on Calculus I with 500 published problems. Preview a problem, explore the course outline, and work through one problem at a time.
Training
Try 5 problems free
Course and path
No account needed for these. The full course is 500 problems for $19 USD a month. What's included
A free account opens the first unit of every course, with hints and solutions.
Preview a course problem
See a problem from Calculus I before you begin.
Course topics
Course topics
Functions, limits, continuity, and asymptotic behavior
Derivatives, rules, and implicit differentiation
Derivative applications, optimization, and related rates
Antiderivatives, definite integrals, and the Fundamental Theorem of Calculus
Applications of integration
Introduction to sequences and series
Practice problems
Try a few Calculus I problems, each with a hint.
- A farmer has 240 m of fencing and will enclose a rectangular pasture along a straight… Derivative applications, optimization, and related rates
- Classify the discontinuities and asymptotes of a rational function Free with an accountFunctions, limits, continuity, and asymptotic behavior
- Rationalize a trigonometric radical difference Free with an accountFunctions, limits, continuity, and asymptotic behavior
- Differentiate an implicit curve at a specified point Derivatives, rules, and implicit differentiation
- Differentiate a power with two changing parts Derivatives, rules, and implicit differentiation
- Relate an expanding radius to an area rate Derivative applications, optimization, and related rates
- Force two critical points from three roots Derivative applications, optimization, and related rates
- Differentiate an accumulation function with a variable upper bound Antiderivatives, definite integrals, and the Fundamental Theorem of Calculus
- Use washers to form a volume of revolution Applications of integration
- Diagnose a false convergence claim from the term limit Introduction to sequences and series