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elements of calculus

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if d^2y/dx^2= x/x^2 +1, find d^4y/dx^4

  • elements of calculus -

    d"=x/u where u = x^2+1

    d"'= 1/u - x/u^2 * du/dx

    d""= 1/u^2 -1/u^2 du/dx +2x/u^3 (du/dx)^2- x/u^2 d"u/dx"

    so now it is the algebra

    du/dx= 2x
    d"u/dx"= 2

    go for it. check my work.

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