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A level math questions

Hello! I am stuck with this calc question.

A curve y=x^2cosx for 0<=x<=1/2pi is shown with maximum point M. Show by differentiation that the x coordinate of M satisfies the equation. tanx=2/x. I have found the derivative of dy/dx=cosx2x+(-sinxx^2) but this seems complicated to work with and I'm not sure the next steps to take to solve the question.
Thank you for help
Reply 1
At the maximum, what is the value of dy/dx, then rearrange. I presume the shown curve means you can justify that M occurs when x!=0 and also x!=pi/2, otherwise you'll need to justify those.
(edited 3 months ago)
Let dy/dx=0 and solve from there.
Also as a start, factor x out of the equation.
(edited 3 months ago)

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