Math

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How would I find the derivative of x^2 + 3x using the definition of the derivative?

  • Math -

    d/dx x^2+3x = 2x+3

  • Math -

    the derivative of a function f(x) is
    Limit [f(x+h) - f(x)]/h
    h--> 0

    so derivative of x^2 + 3x =
    Lim[(x+h)^2 + 3(x+h) - x^2 - 3x]/h =
    h--> 0
    Lim [2hx + h^2 + 3h]/h =
    h--> 0
    Lim [2x + h + 3\]
    h--> 0
    = 2x + 3

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