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x5lnx?
d/dx (uv)=u*dv/dx+v*du/dx
d/dx (x5lnx)=x5*[d/dx(lnx)]+lnx*[d/dx(x5)]
-The derivative of lnx is:
d/dx(lnu)=(1/u)*[d/dx(u)]
d/dx(lnx)=(1/x)*[d/dx(x)]
d/dx(lnx)=(1/x)*[1]
d/dx(lnx)=(1/x)
-The derivative of x5 is:
d/dx (xn)=nxn-1
d/dx (x5)=5x5-1
d/dx (x5)=5x4
d/dx (x5lnx)=x5*[1/x]+lnx*[5x4]
d/dx (x5lnx)=[x5/x]+5x4lnx
d/dx (x5lnx)=x4+5x4lnx
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