Implicit Differentiation

Implicit differentiation is a fundamental technique in calculus used to find the derivatives of functions that are not expressed explicitly. It is particularly useful when dealing with equations that are not in the form y = f(x) but rather involve both x and y variables. By applying the chain rule, implicit differentiation allows us to compute derivatives efficiently without having to isolate y explicitly. This method plays a crucial role in various branches of mathematics and physics, enabling the analysis of curves and surfaces defined implicitly by equations, providing insights into their behavior and characteristics.