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. Students develop skills to create rigorous epsilon-delta proofs, compute derivatives using difference quotients, and translate graphical features into precise mathematical statements for advanced problem-solving in mathematics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in limits, continuity, and derivative definitions through epsilon-delta proofs. Learn to detect nondifferentiable points including corners, cusps, jumps, vertical tangents, handle piecewise functions confidently, compute derivatives from first principles, and analyze rational exponents near singularities with clear written and graphical justifications.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Analyze 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 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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