Differentiability Course
This course builds mastery of differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points such as corners, cusps, jumps, and vertical tangents. Students develop skills to create rigorous epsilon-delta proofs, compute derivatives using difference quotients, analyse piecewise functions confidently, and interpret graphs of rational exponents near critical points. Apply clear written justifications and graph-based explanations in advanced mathematical problem-solving across calculus and analysis.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a focused path to mastering limits, continuity, and rigorous derivative definitions in this Differentiability Course. Analyse nondifferentiable points including corners, cusps, jumps, and vertical tangents; handle piecewise functions with ease; and explore rational exponents near critical points. Develop concise written proofs and graph interpretations for immediate use in advanced mathematics.
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 values, one-sided limits, 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 workload.What our students say
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