DO2

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Evaluate (D^{2}+5D-1)(\tan 2x-3/x),\,\,\,D={\frac  {d}{dx}}\,

=D^{2}(\tan 2x)-D^{2}(-3/x)+5D(\tan 2x)+5D(-3/x)-\tan 2x+3/x\,

Use this Maple code to evaluate this:

simplify(diff(tan(2*x),x,x) - diff(-3/x,x,x) + 5*diff(-3/x,x) - tan(2*x) + 3/x);

The answer is:

7\tan(2x)+8\tan(2x)^{3}+6x^{{-3}}+15x^{{-2}}+3x^{{-1}}\,


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