Linearization or the linear approximation of a function can be used to estimate the output of a function when finding its exact value is difficult. This has a handful of different useful applications. In this video I'll show you how to find the linearization of a function at a point and how to apply it to estimate more challenging values near that point.
In order to find the linearization of a given function at a given point, it will be very similar to finding the equation of a tangent line. With linearization, we can use the formula for the linearization of a function, denoted L(x).
In this video I'll show you how to find the linearization of f(x)=sqrt(x+1) at the point a=0. This means that we will be coming up with a linear function that goes through the point that lies on the function at a=0 and has the same slope as the function f(x)=sqrt(x+1) at that point. Then we will use this linear approximation to approximate the value of sqrt(0.9).
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+ How to find the equation of a tangent line - jakesmathlessons.com/derivati...
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