Differentiability Course
This course builds mastery in differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points such as corners, cusps, jumps, and vertical tangents. Learners develop skills to provide rigorous epsilon-delta proofs, compute derivatives accurately, and interpret graphs for advanced mathematical applications.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain expertise in limits, continuity, and derivative definitions. Analyse nondifferentiable features like corners, cusps, jumps, vertical tangents, and piecewise functions. Master rational exponents at critical points and craft precise written and graphical justifications for advanced problem-solving.
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.
- Evaluate differentiability of fractional power functions.
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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