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Learning Paths

Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.

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Mathematics · High School (11–12)

by StemPy Lab
Chapter 9Contains Standard content
Continuity and Differentiability
Continuity and Differentiability

Draw the graph of a bus journey without lifting your pencil. It is smooth where the bus speeds up gently, and it has a sharp corner where the driver brakes hard. This chapter turns that picture into mathematics. You test when a function is continuous, find where a graph has a gap or a corner, learn every rule of differentiation, and meet Rolle's theorem and the mean value theorem. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topics of A-Level, IB and AP. Python checks every limit and every derivative on the computer.

4 courses
StemPy LabStemPy Lab