differentiation(2)

2011-01-14 6:09 pm
If y = 2x√(2x+3) , show that dy/dx = (4x2/y)+ (y/x)

回答 (3)

2011-01-14 6:57 pm
✔ 最佳答案
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參考: ME
2011-01-14 10:21 pm
For sure MoonMoon is kidding us.
2011-01-14 7:20 pm
Method 1
y = 2x V(2x+3)
dy/dx = 2 V(2x+3) + 2x * 2/ 2V(2x+3)
= 2 V(2x+3) + 2x / V(2x+3)
= 2 (y/2x) + 2x / (y/2x)
= y/x + 4x^2 / y
= 4x^2 / y + y/x

2011-01-14 11:21:19 補充:
MoonMoon, 你係咪玩野??


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