Class 12 Maths · Chapter 5 · CBSE / NCERT
Continuity and Differentiability
When a graph has no breaks and no sharp corners. You’ll learn continuity, the chain rule, implicit, logarithmic and parametric differentiation, and second derivatives.
14 short lessons · about 63 minutes in all
What you’ll learn
- 1Continuous at a point: no lifting the pen4 min
- 2Two rules meeting at a joint4 min
- 3Continuous everywhere it is defined4 min
- 4Building continuous functions from smaller ones4 min
- 5Choosing k so the pieces meet4 min
- 6Smooth or sharp: when a derivative exists5 min
- 7The chain rule: outside, then inside5 min
- 8Implicit differentiation: when y will not stand alone5 min
- 9Derivatives of inverse sine and inverse cosine5 min
- 10Exponentials and logs: growth and its undo5 min
- 11Derivatives of e to the x, log x and a to the x5 min
- 12Logarithmic differentiation: take logs first5 min
- 13Parametric form: x and y both run on t4 min
- 14The second derivative: differentiate again4 min
No account needed
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Continuous at a point: no lifting the pen · about 4 minutes
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More Class 12 Maths
The other 12 chapters.
CH 1Relations and Functions14 lessonsCH 2Inverse Trigonometric Functions14 lessonsCH 3Matrices14 lessonsCH 4Determinants14 lessonsCH 6Application of Derivatives12 lessonsCH 7Integrals18 lessonsCH 8Application of Integrals10 lessonsCH 9Differential Equations14 lessonsCH 10Vector Algebra14 lessonsCH 11Three Dimensional Geometry14 lessonsCH 12Linear Programming12 lessonsCH 13Probability14 lessons
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