This video introduces derivatives for the three main inverse trigonometric functions: arcsin, arccos, and arctan. A proof is given that the derivative of inverse sin(x) equals 1 over the square root of 1-x^2. The proof is a standard method and should be accessable to students at this point in calculus, and a similar method works for proofs of the derivatives of inverse cosine and inverse tangent functions.
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Proof: Derivative of the Inverse Sin (arcsin) Function | NatokHD