👉 Derivations are mathematical techniques used to prove that a function is continuous or differentiable at a point. They involve using limits and properties of functions to establish continuity or differentiability, which allows for precise understanding of what can be said about a function's behavior at specific points. In the context of derivatives, derivations often involve finding the slope of a tangent line to a curve at a given point. This is done by taking the derivative of the function with respect to one variable (the independent variable
