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What is d/dx of the inverse cosine, cos^-1 x?

A-1/(1 + x^2)
B1/(1 + x^2)
C1/sqrt(1 - x^2)
D-1/sqrt(1 - x^2)
Answer & Solution
Correct answer: D. -1/sqrt(1 - x^2)
Inverse cosine decreases where inverse sine increases, so its derivative is -1/sqrt(1 - x^2).
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