Proof of the derivative of inverse tan x: A Step-by-Step Proof and Explanation

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In today's video, I'll provide a detailed explanation to help you easily understand the proof of the derivative of the inverse tangent function.
In this proof, I won't use the method known as the limit definition of the derivative or the first principle; instead, I'll present a more straightforward approach.

I'm leveraging the fact that the derivative of tanx is sec^2x in this proof. If you're curious about this proof, you can refer to the following video:

If you're interested in more derivative proofs for various functions, you can check the link below. The playlist will be regularly updated, so please continue to stay tuned.

If you're eager to explore more differentiation techniques for various functions, click the link below.

Stay tuned for a variety of upcoming differentiation videos.
Additionally, I recommend watching the easy integration videos using the Box Rule below, as they will complement your learning experience.

Also, there are various other videos available on my channel and more will be uploaded continuously, so feel free to visit and check them out.

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Can you do videos about Euler’s formula (e^ix). This video is awesome btw.

mehmetefe
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You think you can do the integral of arctangent with complex numbers? I'd love to see if you can do your own take on it.

Sgth
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Can you make a video on how to solve the integral by substitution?

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