alleryd/dx arcsin(x) =
A1/sqrt(1+x²)
B-1/sqrt(1-x²)
C1/sqrt(1-x²) (for |x| < 1)
D1/x
Answer & Solution
Correct answer: C. 1/sqrt(1-x²) (for |x| < 1)
Derivative of sin⁻¹(x) = 1/sqrt(1-x²) for |x| < 1. (And d/dx cos⁻¹ = -1/sqrt(1-x²).)
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