Differentiability Course
Gain expertise in differentiability starting from basics: limits, continuity, piecewise functions, and points where derivatives fail. Craft precise proofs and convert graph insights into exact limit and derivative expressions applicable throughout higher mathematics. This focused programme equips you with essential tools for advanced calculus challenges, ensuring confidence in analysis and problem-solving.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear pathway to mastering limits, continuity, and precise derivative definitions. Learners will identify corners, cusps, jumps, and vertical tangents, manage piecewise functions effectively, and tackle rational exponents at key points. Develop strong written arguments and graph interpretations for immediate use in complex maths problems.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs for thorough analysis.
- Spot nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Handle piecewise functions by aligning values, one-sided limits, and derivatives.
- Calculate derivatives from first principles with difference quotients and one-sided checks.
- Examine graphs of fractional powers for smoothness, slopes, 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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