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Calculus (Derivatives)

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Find the derivative of the function f by using the rules of differentiation.

F(x) = x^3 – 4x^2 + 3 / x

The sign “/” means divided by (OVER)…this problem looks like a big fraction. I am so lost though because I do not know why I keep getting 3x – 4. Can someone please show me how to do this one?!

  • Calculus (Derivatives) - ,

    You mean:
    F(x) = (x^3 – 4x^2 + 3) / x ?

    if so, then first divide each term by x

    F(x) = x^2 - 4x + 3/x

    F'(x) = 2x - 4 - 3/x^2

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