Derivatives and their applications
This lesson is part of the full course.
In it you will learn to:
- Differentiate fluently with the product, quotient and chain rules, implicitly, logarithmically, and for inverse functions
- Apply the mean value theorem and Rolle's theorem to bound functions and count roots
- Find and classify extrema, including on closed intervals, and solve optimization and related-rates problems
- Count solutions of from monotonicity and concavity
- Know the subtle facts: differentiable implies continuous, derivatives need not be continuous but have the intermediate value property