? 發問於 科學及數學數學 · 1 十年前

# 紅色格格果D唔色做

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

2平方是3-1得出黎的嗎?

### 1 個解答

• 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