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

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In this video, I will provide a simple proof of the derivative of the inverse sine function and show how to quickly and easily calculate the derivative of the inverse sine function by modifying the formula slightly.
I will demonstrate a method for proving the derivative of the inverse sine function without using the limit definition of the derivative, also known as the first principle.

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.

#derivatives #inversetrigonometry #mathwithalex
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Комментарии
Автор

Muy buena explicación, bien fluida y los colores están muy bien escogidos.

nicolascamargo
Автор

I wouldn't prove that cos(y) = (1-x^2)^1/2 using pythagoras specifically because y might be equal to or greater than pi/2 radians, I would instead use the identity sin^2y+cos^2y=1 and rearrange for y. Great vid tho :)

hqund