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Mathematics

Differentiability

अवकलनीयता

In this Class 12 Mathematics topic from the chapter “Continuity and Differentiability,” students learn how differentiability describes the existence of a definite derivative at a point and what it reveals about a function’s local behaviour. The topic connects left- and right-hand derivatives, explains why differentiability implies continuity, and develops methods for testing differentiability of algebraic, trigonometric, exponential, logarithmic, and piecewise functions. Students also strengthen their use of standard derivative rules and apply these ideas to structured problems involving continuity and derivatives.

TOPIC PRACTICE

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