Differentiability Course
This course builds strong foundations in differentiability using first principles, covering limits, continuity, piecewise functions, and points of nondifferentiability. Learners will create precise justifications and interpret graphs to form accurate limit and derivative analyses, essential for higher mathematics.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain expertise in limits, continuity, and precise derivative concepts. Identify corners, cusps, jumps, and vertical tangents effectively. Handle piecewise functions confidently and manage rational exponents at key points. Develop strong written proofs and graphical insights for advanced maths problems.
Elevify advantages
Develop skills
- Master limits and continuity with epsilon-delta proofs.
- Spot nondifferentiable points like corners, cusps, jumps, vertical tangents.
- Analyse piecewise functions for values, one-sided limits, derivatives.
- Calculate derivatives using first principles and difference quotients.
- Understand graphs of fractional powers for smoothness and slopes.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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