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CALCULUS help! =)

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find the derivative of f(x)=3x^2-x using the limit definition.

  • CALCULUS help! =) -

    f(x) = 3x^2 - x
    f(x+h) = 3(x+h)^2 - (x+h)
    = 3x^2 + 6xh + 3h^2 - x - h

    dy/dx = lim [ ( f(x+h) - f(x)]/h , as h ----> 0
    = lim (3x^2 + 6xh + 3h^2 - x - h - 3x^2 + x)/h
    = lim (6xh + 3h^2 - h)/h
    = lim 6x + 3h - 1 , as h --->0
    = 6x - 1

    (the h--> 0 should be under the word "lim" in each line)

  • CALCULUS help! =) -

    WOW!! You are such a lifesaver!!!!!!!!!=) ...and also very good at math !

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