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 mathematics problem-solving.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in limits, continuity, and precise derivative definitions. Analyse nondifferentiable features including corners, cusps, jumps, vertical tangents, handle piecewise functions effectively, and examine rational exponents at key points. Develop concise proofs and graphical insights for immediate use in higher-level maths.
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 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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