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For |x| less than 1, what is the derivative of artanh x?
A1/(1 + x²)
B-1/(1 - x²)
C1/(1 - x²)
D1/√(1 - x²)
Answer & Solution
Correct answer: C. 1/(1 - x²)
If y = artanh x then x = tanh y, so dy/dx = 1/sech^2 y... equivalently 1/(1 - tanh^2 y) = 1/(1 - x²).
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