Derivative of (1/2)tan(x)

Derivative of (1/2)tan(x)
❤️ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Take out the constant 1/2
00:10 Derivative of tan(x)
00:18 Rewrite expression
00:24 Use the cos^2(x)=(1/2)(1+cos(2x)) identity
00:53 Simplify expression
01:09 Final answer!
01:16 See more!

[@DerivativesForYou]

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

[@PsYcHoCI2usHeI2]

i thought dx of tan was sec^2

[@DerivativesForYou]

It is! The definition of sec(x) is sec(x)=1/cos(x) then sec^2(x)=1/cos^2(x) 😉