LINEAR APPROXIMATION TO ESTIMATE SQRT(24) - how to use linearization with no f(x) or a (Part 3)

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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 like sqrt(24).

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 to approximate sqrt(24) when no f(x) or a has been given. This means that we will be coming up with a linear approximation based on a function that we have to come up with knowing the value we want to approximate. Then we will use this linear approximation to approximate the value of sqrt(24).

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Man, you deserve more subs! You've helped me with at least a few questions on each of my calc assignments this semester, great explanations, clearer than many of the bigger channels. Subbed and hit the bell and will tell my classmates as well, thanks so much!

Nathan-xobh
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This video was great and really helped my understanding. Thank-you!

meganowens
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Thanks man. You seem new so its nice to see some new faces. I follow a lot of the mathematicians around here on YouTube. Your formula was explained in a different format but I don't give a damn as long as it works with the proper results and it help confirm if what I was doing was correct.

RealSugam
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Honestly love your content man! I wish I found you sooner as I'm about take my 2nd exam LOL.

If you could, not sure if you have. Do a video over hyperbolic functions?

Thank you again! And best wishes!!!

KUYAJRIP