alleryA student replaces a curve near one point with its tangent line to estimate values nearby. That estimate is the:
ALimit comparison
BLinear approximation
CLogarithmic average
DLateral projection
Answer & Solution
Correct answer: B. Linear approximation
1. Close to the point of tangency, curve and line nearly coincide.
2. The line is far easier to evaluate than the curve.
3. That estimate is the linear approximation.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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