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. Learners 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 these to advanced problem-solving with clear written justifications and graph-based explanations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a focused path to mastering limits, continuity, and derivative definitions. Analyse nondifferentiable points including corners, cusps, jumps, and vertical tangents. Handle piecewise functions and rational exponents confidently. Develop rigorous epsilon-delta proofs and graph interpretations for 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 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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