Q . LET f(x) = e^{( x3 + x2 + x)} ( it is e raise to the power x cube plus x square plus x) AND g(x) IS THE INVERSE OF f(x) . THEN g‘ ( e³) ( derivative of g at e³) . IS ?

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the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?

Find dy/DX when y=x^sinx+sin-1√x.

 

Please give me the solution of this problem. 

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.