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Lösung 1.2:3d

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We differentiate the function successively, one part at a time,


ddxsincossinx=coscossinxcossinx ,

and the next differentiation becomes


ddxcossinx=sinsinxsinx=sinsinxcosx


The answer is thus


ddxsincossinx=coscossinxsinsinxcosx=coscossinxsinsinxcosx