Implicit differentiation is a technique used in calculus to find the derivative of a function when it is not explicitly solved for one variable in terms of another. For example, if you have an equation like x² + y² = 1, which represents a circle, you can't easily solve for y. Instead, you differentiate both sides of the equation with respect to x, treating y as a function of x. This allows you to find dy/dx without isolating y.
When you differentiate y implicitly, you apply the chain rule, which means you multiply by dy/dx whenever you differentiate y. After differentiating, you can rearrange the equation to solve for dy/dx. This method is particularly useful for complex equations