Derivative of arcsin(x) - d/dx [ sin^-1(x) ] - Inverse Sine function
In this video, we find the derivative of arcsin(x) by implicit differentiation. First we rearrange the Pythagorean Identity... cos^2(y) + sin^2(y) = 1 to... cos*(y) = sqrt(1 - sin^2(y)) We then define the function y = arcsin(x), which means sin(y) = x #Calculus #Differentiation #Derivatives #Trigonometry Thanks for watching. Please give me a "thumbs up" if you have found this video helpful. Please ask me a maths question by commenting below and I will try to help you in future videos. I would really appreciate any small donation which will help me to help more math students of the world. Please donate here: https://paypal.me/MasterWu Follow me on Twitter! twitter.com/MasterWuMath

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Proof: Derivative of ln(x) = 1/x by First Principles
![Derivative of arcsin(x) from First Principles[Derivatives]](https://i.ytimg.com/vi/BY1vQuW25Zo/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBoRwG14SKANcZdKAoBnJBazn25Sg)
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