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. Develop rigorous epsilon-delta proofs, precise derivative computations, and skills to translate graphical features into mathematical statements for advanced problem-solving in mathematics.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Explore limits, continuity, and derivative definitions through epsilon-delta proofs. Analyse nondifferentiable points including corners, cusps, jumps, and vertical tangents. Handle piecewise functions confidently, compute derivatives from first principles, and interpret rational exponent graphs for smoothness and slopes. Craft clear written justifications applicable to advanced 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 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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