derivatiivisuutta
Derivatiivisuutta, often translated as differentiability, is a fundamental concept in calculus that describes whether a function can be smoothly approximated by a linear function at a given point. A function is differentiable at a point if its derivative exists at that point. The derivative of a function at a point represents the instantaneous rate of change of the function at that point, which geometrically corresponds to the slope of the tangent line to the function's graph at that point.
For a function f(x) to be differentiable at a point x=a, two conditions must be met. Firstly,
If a function is differentiable at a point, its graph will have a well-defined tangent line at