Differentiability Course
This course builds mastery of differentiability starting from first principles. You will tackle limits, continuity, piecewise functions, and nondifferentiable points such as corners, cusps, jumps, and vertical tangents. Develop rigorous proofs, concise justifications, and skills to interpret graphs into precise limit and derivative statements for advanced maths problems.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in limits, continuity, and strict derivative definitions. Analyse corners, cusps, jumps, vertical tangents, piecewise functions, and rational exponents at key points. Create clear written proofs and graph explanations for immediate use in tough calculus challenges.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs for solid analysis.
- Spot nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Handle piecewise functions by matching values, one-sided limits, and derivatives.
- Calculate derivatives from first principles with difference quotients and one-sided tests.
- Understand graphs of fractional powers for smoothness, slopes, and differentiability.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course