Differentiability Course
This course builds mastery in differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points such as corners, cusps, jumps, and vertical tangents. Learners develop skills to create rigorous epsilon-delta proofs, compute derivatives accurately, and translate graphical insights into precise mathematical statements for advanced problem-solving in mathematics.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain expertise in limits, continuity, and derivative definitions through rigorous analysis of corners, cusps, jumps, vertical tangents, piecewise functions, and rational exponents. Develop concise written proofs and graph interpretations for immediate use in advanced maths challenges.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Analyse piecewise functions for limits, continuity, and derivatives.
- Compute derivatives from first principles with difference quotients.
- Interpret 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 workloadWhat our students say
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