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Mathematics

Derivatives of implicit functions

निहित फलनों के अवकलज

In this Class 12 Mathematics topic from Continuity and Differentiability, students learn how to differentiate equations in which the variables are not explicitly separated, such as x² + y² = a². They use implicit differentiation by treating y as a function of x, apply the chain rule, and find dy/dx and, where appropriate, higher-order derivatives. The topic also develops understanding of tangent slopes and differentiability for implicitly defined curves.

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