Question: Problem 1- Partial DerivativesQuantum mechanical observables are represented mathematically by operators, hat(O).Op-erators, aswe will encounter them, map one set of functions to another according tohat(O)f(x)=g(x)Examples

Problem 1- Partial DerivativesQuantum mechanical observables are represented mathematically by operators, hat(O).Op-erators, aswe will encounter them, map one set of functions to another according tohat(O)f(x)=g(x)Examples that you already know are derivatives in one and higher dimension.Calculate the following derivatives:(a)dd(ax)ln[cos(ax2)], where ais a constant(b)grade-ip*x, where i=-12,grad=deldelxhat(x)+deldelyhat(y)+deldelzhat(z),x=(x,y,z),p=(px,py,pz)(c)grad2sin(nxxLx)sin(nyyLy)sin(nzzLz), where grad2=del2delx2+del2dely2+del2delz2(d)[1sindeldel(sindeldel)+1sin2del2del2]sineiDo you notice something different about (b)-(d)in comparison with (a)? What isit?

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