I What Is the Derivative of cos(x) with Respect to 1/x?

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if (d/dx) cos(x) = -sin(x) then (d/d{1/x}) cos(x) = ? i.e. the derivative of cos(x) with respect to 1/x
 
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You can subsitiute ##\ y = {1\over x}\ ## and use the chain rule to determine the derivative of ##\cos\left ( 1\over y \right ) ##.
 

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