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Mathematics

Derivative of composite functions

संयुक्त फलनों का अवकलज

In Class 12 Mathematics, this topic from Continuity and Differentiability explains how to differentiate a composite function, written as f(g(x)), by applying the chain rule. Students learn to identify the inner and outer functions, differentiate each part in the correct order, and use the formula d/dx[f(g(x))] = f′(g(x))·g′(x). Worked examples with algebraic, trigonometric, exponential, and logarithmic expressions build accuracy in simplifying and checking derivatives.

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