How to find derivative of arcsine x (sine inverse x) by first principles

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Derivative of inverse sine proof. Derivative of inverse sine function. Derivative of inverse sine of x. I have explained that derivative of arcsin x by using graph of sine inverse of x.
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[holyshit]

Using double angle identity we can reduce limit (1 - cos(h))/h to limit sin(h)/h
1 - cos(h) = cos^2(h/2)+sin^2(h/2) - (cos^2(h/2) - sin^2(h/2))
1 - cos(h) = 2sin^2(h/2)
So we have less limits to remember

[cosmosXverse]

Very well explained.. I watch 5-6 vd on this topic. But this one is the the the best video. Thanks a lots sir ❤️❤️❤️

[gpratapkumarpatro]

Sir make videos like this.... it helps me alot and keep making videos on inverse of a function and difficult qs of I. F

[eleazaralmazan]

This is beautiful! Thank you very much!

[jan-willemreens]

... The correct title is "How to find derivative of by first principleS", instead of first principle. With "s"! Additionally I found your presentation very clear and well-structured, and last but not least very pleasant to watch! Thank you very much for your math efforts, Jan-W

[HeyKevinYT]

Very elegant process and good explanation 👍

[tophustler]

Why you assumed the range of y from -90° to 90°?