Derivative of (1/sqrt(2))arctan((x-x^-1)/sqrt(2))

Derivative of (1/sqrt(2))arctan((x-x^-1)/sqrt(2))
❤️ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Take out the constant 1/sqrt(2)
00:19 Derivative of arctan((x-x^-1)/sqrt(2))
00:38 Derivative of (x-x^-1)/sqrt(2)
00:53 Rewrite expression
01:41 Use the (a-b)^2=a^2-2ab+b^2 identity
02:09 Simplify expression
02:21 Multiply by x^2 on numerator and denominator
02:46 Final answer!
02:51 See more!

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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!