Mathematics
Logarithmic differentiation
लघुगणकीय अवकलन
In this Class 12 Mathematics topic from Continuity and Differentiability, students learn how logarithms can simplify the differentiation of complicated expressions. The method is especially useful for products, quotients, powers, and functions in which both the base and exponent contain variables, such as y = u(x)^v(x). Students take logarithms, differentiate implicitly, apply derivative rules, and then express the result in terms of the original function. The topic also highlights domain and differentiability conditions, helping students solve derivatives accurately and efficiently.
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