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The derivative of sin^-1 x on the interval (-1, 1) is
A1/sqrt(1-x^2)
B-1/sqrt(1-x^2)
Cx/sqrt(1-x^2)
D1/(1+x^2)
Answer & Solution
Correct answer: A. 1/sqrt(1-x^2)
If y = sin^-1 x then x = sin y, so dy/dx = 1/cos y = 1/sqrt(1-x^2).
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