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...Solutions to examples on partial derivatives a f x y b xy c e d xe xsin cos sin ycos z xcosz cosz xyez xsinz i siny cosx xsiny sinx cosy ycosx xx yy xcosy ysinx yx so ii lnx t rcost rsint r rsintcost hence and are as above cost sint rcos rsin bythe chain rule u uv v vuv xz et lnt dx dy dz dt zcos xcos...