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+1 vote
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in Continuity and Differentiability by (33.4k points)
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If x ∈ R -[-1,1] then prove that the derivative of sec-1x with respect to x is \(\frac{1}{|x|\sqrt{x^2-1}}.\)

1 Answer

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by (36.3k points)
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Best answer

Let y = sec-1 x

Then, 

sec y = sec (sec-1x) = x

Differentiating both sides with respect to x, we have

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