A. Maths ( Differentiation)

2007-10-24 2:47 am
Find the equation of the tangent to the curve y= ( 2 開方 x / x-1) at x =4

回答 (1)

2007-10-24 3:06 am
✔ 最佳答案
d/dx (2 開方 x / x-1) = (x+1) / (開方 x (x-1)sqr)

d/dx (2 開方 x / x-1) at (x=4) = 5 / 18

when x = 4, y = 4 /3

Equation of tangent:
y-4/3 = 5/18(x-4)

=> 5x-18y+4=0


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