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Find derivative of x^3logx w.r.t. to x...

Find derivative of `x^3logx` w.r.t. to `x`

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Let `y=x^(3)"log"x`
`implies(dy)/(dx)=(d)/(dx)(x^(3)"log" x)=x^(3)*(1)/(x)+"log"x*3x^(2)=x^(2)+3x^(2)"log"x`
`implies (d^(2)y)/(dx^(2))=(d)/(dx)x^(2)+3(d)/(dx)(x^(2)"log"x)`
`=2x+3(x^(2)*(1)/(x)+"log"x*2x)=5x+6x"log"x`
`=x(5+6"log"x)`
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