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Linear approximation - Derivative Applications

Linear approximation

In this section, we will learn how to approximate unknown values of a function given known values using Linear Approximation. Linear Approximation has another name as Tangent Line Approximation because what we are really working with is the idea of local linearity, which means that if we zoom in really closely on a point along a curve, we will see a tiny line segment that has a slope equivalent to the slope of the tangent line at that point.


Intro: Linearization of f f at a:L(x)=f(a)+f(a)(xa) a: L(x)=f(a)+f'(a)(x-a)
  • 1.
    Consider the function f(x)=x. f(x)=\sqrt{x}.
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Linear approximation

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