Tangent line approximation, also known as linear approximation or tangent line estimation, is a method that uses the equation of a tangent line at a specific point on a curve to approximate the value of the function near that point. It provides a close estimate when dealing with small intervals.
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Derivative: The derivative represents the rate of change of a function at any given point and plays a crucial role in tangent line approximation.
Linearization: Linearization is another term for tangent line approximation, where we approximate complex functions with simpler linear functions.
Error Bound: The error bound refers to the maximum difference between the actual value and the estimated value obtained through tangent line approximation.