Here we will prove the derivatives of all the inverse trigonometric functions. The main tool to find the inverse trig functions derivatives is implicit differentiation. These results are very important for your calculus classes. Note: the notation sin^1(x) means the inverse sine or arcsin(x). Sin^1(x) is very different than (sin(x))^1.

0:16 derivative of inverse sin(x), derivative of sin^1(x)
3:41 derivative of inverse tan(x), derivative of tan^1(x)
6:12 derivative of inverse sec(x), derivative of sec^1(x)
9:20 derivative of inverse cos(x), derivative of cos^1(x)
11:02 derivative of inverse cot(x), derivative of cot^1(x)
12:14 derivative of inverse csc(x), derivative of csc^1(x)

If you want to see a "fast" version, check out this video:    • Derivatives of All INVERSE Trig Funct...  


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