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For x in (-1, 1), the derivative of sin^-1 x equals which expression?
A1/(1 + x^2)
B1/sqrt(x^2 - 1)
C1/sqrt(1 - x^2)
D-1/sqrt(1 - x^2)
Answer & Solution
Correct answer: C. 1/sqrt(1 - x^2)
Setting y = sin^-1 x gives cos y dy/dx = 1, and cos y = sqrt(1 - x^2) on this range.
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