A function is said to be twice differentiable if it has both a first and second derivative defined for all points in its domain.
Imagine baking cookies from scratch. Being twice differentiable is like having two layers of icing on top - you have both smoothness and extra detail that make your cookies stand out.
First Derivative Test: A method used to analyze critical points of a function by examining intervals where the first derivative changes sign.
Taylor Series Expansion: An approximation technique that expresses functions as an infinite sum of terms involving their derivatives at a specific point.
Higher Order Derivatives: Refers to derivatives beyond the first and second order (third, fourth, etc.). They measure rates at which rates are changing.
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