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For the function j(x)=cot(21x)j(x)=\(\cot\)(21x), determine the derivative of the inverse function at the point (1,π84)\(\left\)(1,\(\frac{\pi}{84}\)\(\right\)) without calculating the inverse.

For the function $j of x equals cotangent 21 x$ , determine the derivative of the inverse function at the point $open paren 1 comma pi over 84 close paren$ without calculating the inverse.