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The derivative of y = arsinh x is which function?

A1/√(x² + 1)
B1/(1 + x²)
C1/√(x² - 1)
Dx/√(x² + 1)
Answer & Solution
Correct answer: A. 1/√(x² + 1)
If y = arsinh x then x = sinh y, so dy/dx = 1/cosh y = 1/√(x² + 1).
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