求各位教我以下2條數 !!!救命!!10點

2011-04-08 5:54 pm
1.Find the first derivative of y=x^2+5sinx
2.Fiind the first derivative of y=3X^8+2/x

回答 (3)

2011-04-09 3:28 am
✔ 最佳答案
這兩條都是關於求導數的問題。
1 y=x^2+5sinx
y'=2x+5cosx

2. y=3x^8+2/x
y'=24x^7-2/x^2
2011-04-09 7:32 pm
1. Find the first derivative of y=x^2+5sinx
dy/dx = (2)x^(2-1) + 5 cos x
dy/dx = 2x^(1) + 5 cos x
dy/dx = 2x + 5 cos x

2. Find the first derivative of y=3x^8+2/x
y = 3x^8+2x^(-1)
dy/dx = (8)3x^(8-1) + (-1)2x^(-1 – 1)
dy/dx = 24x^7 + -2x^(-2)
dy/dx = 24x^7 + -2/(x^2)

Comment:
y = ax^n, dy/dx = (n)ax^(n-1)
y = sin x, dy/dx = cos x
2011-04-09 12:06 am
1. 557899+924566 2.33410+u736
參考: 書名


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