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Local Linearization (Tangent Line Approximation)
In Calculus, the local linearization to a differentiable function f near a point x=a is a linear approximation given by L(x)=f(a)+f'(a)*(x-a). We compute this for many examples, including to approximating a square root and pendulum period, and we also consider the error function E(x)=f(x)-L(x). Infinite Powers, How Calculus Reveals the Secrets ...
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