Implicit differentiation is a technique used to differentiate equations in which the dependent variable is not explicitly expressed as a function of the independent variable. Instead of rearranging the equation to isolate one variable, both sides are differentiated directly, applying the chain rule where necessary. In IB Mathematics, implicit differentiation is essential for working with relations such as circles, curves, and more complex algebraic equations. It also forms the foundation for topics such as related rates and curve analysis. Students must demonstrate careful application of differentiation rules, clear notation, and logical progression of steps to meet IB assessment criteria.
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