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, analyse functions confidently, and translate graphical insights into precise mathematical statements for advanced problem-solving in mathematics.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain expertise in limits, continuity, and derivative definitions through rigorous analysis of corners, cusps, jumps, vertical tangents, piecewise functions, and rational exponents. Develop concise written proofs and graph interpretations for immediate use in advanced maths challenges.
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.
- Calculate 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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Course in PDF