Derivative of (1/2)(-cos(x)/sin^2(x) + ln(tan(x/2)))

Описание к видео Derivative of (1/2)(-cos(x)/sin^2(x) + ln(tan(x/2)))

Derivative of (1/2)(-cos(x)/sin^2(x) + ln(tan(x/2)))

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

🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Rewrite expression
00:28 Derivative of "u" multiplied by "v"
00:53 "u" multiplied by derivative of "v"
01:16 Derivative of ln(tan(x/2))
01:24 Derivative of tan(x/2)
01:33 Derivative of x/2
01:39 Rewrite expression
02:39 Simplify expression
03:11 Use the sin(2x)=2sin(x)cos(x) identity
04:08 Write 1/2sin(x)+1/2sin(x) as 1/sin(x)
04:25 Multiply by sin^2(x) on numerator and denominator
04:45 Rewrite expression
04:59 Use the 1=sin^2(x)+cos^2(x) identity
05:07 Final answer!
05:13 See more!

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