Differentiability Course
This course equips you with foundational expertise in differentiability, starting from first principles. Explore limits, continuity, piecewise functions, and points of nondifferentiability such as corners, cusps, jumps, and vertical tangents. Craft rigorous, concise proofs and convert graphical insights into exact limit and derivative formulations applicable throughout advanced mathematics.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a structured journey to master limits, continuity, and precise derivative definitions. Learners will examine corners, cusps, jumps, and vertical tangents, manage piecewise functions effectively, and tackle rational exponents at key points. Develop succinct written arguments and graphical interpretations for immediate use in complex mathematical challenges.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs for precise analysis.
- Identify nondifferentiable points including corners, cusps, jumps, and vertical tangents.
- Evaluate piecewise functions through value matching, one-sided limits, and derivatives.
- Calculate derivatives from first principles with difference quotients and one-sided derivatives.
- Analyse graphs of fractional powers for smoothness, gradients, and differentiability.
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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