Derivative of -1/(tan(x)+1)

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Derivative of -1/(tan(x)+1)

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00:00 Rewrite expression
00:14 Derivative of (tan(x)+1)^(-1)
00:30 Derivative of tan(x)+1
00:41 Rewrite expression
01:01 Use the (a+b)^2=a^2+2ab+b^2 identity
01:23 Use the 1/cos^2(x)=tan^2(x)+1 identity
02:03 Write tan(x) as sin(x)/cos(x)
02:26 Simplify expression
02:40 Use the sin(2x)=2sin(x)cos(x) identity
03:08 Final answer!
03:13 See more!

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