Siow Lin Hoe's answer to mich's Secondary 4 A Maths Singapore question.

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Siow Lin Hoe
Siow Lin Hoe's answer
658 answers (Tutor Details)
1st
Y=(x + 4)/(5-x)
dy/dx = (1-2x)/(5-x)^2
At x-axis, y=0
So, (x+4)/(5-x)=0
So, x+4=0, x=-4
When, x=-4, dy/dx = [1-2(-4)]/[5-(-4)]^2 =9/81=1/9