Differentiability Course
This course builds expertise in differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points. Develop rigorous justifications and skills to translate graphs into precise mathematical statements for advanced calculus applications. Gain confidence in analysing complex functions and providing clear, concise proofs essential for higher-level mathematics.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Explore limits, continuity, and derivative definitions in depth. Analyse nondifferentiable features such as corners, cusps, jumps, and vertical tangents. Master piecewise functions, rational exponents at critical points, and create rigorous written justifications with graphical insights for immediate use in advanced maths problems.
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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