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? 發問於 科學及數學數學 · 1 十年前

紅色格格果D唔色做

更新:

d/dx(x^n)=nx^n-1

係唔係E個

更新 2:

是不是 3X2還圓得6?

2平方是3-1得出黎的嗎?

1 個解答

評分
  • n.a.
    Lv 4
    1 十年前
    最愛解答

    In fact, the expression in red rectangle is obtained by applying S k dx=k*S dx=kx+c and S x^n dx= 1/(n+1) * x^(n+1) +c , where c is constant

    If you read the rule above before while you are reading the chapter, you may be able to fic the problem :)

    1. dy/dx =S (6x-4) dx

    y=S 6x dx -S 4 dx

    Then applying the rule,

    y=3x^2- 4x + c

    where c is a constant.

    2.dy/dx=3x^2-4x+1

    y=S (3x^2-4x+1) dx

    y=S 3x^2 dx - S4x dx +S dx

    y=x^3 - 2x^2 + x +c

    where c is a constant

    Hope I can help you!

    資料來源: A.Math. Knowledge
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