# How do you find the derivative of #cos^-1(-1/x)# ?

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To find the derivative of cos^(-1)(-1/x), you can use the chain rule. The derivative is -(1/sqrt(1 - (-1/x)^2)) * (d/dx)(-1/x), which simplifies to -(1/sqrt(1 - 1/x^2)) * (1/x^2).

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