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How do I use implicit differentiation

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find the derivative? 2√ y = x - y?

asked Nov 4, 2014 in TRIGONOMETRY by anonymous

1 Answer

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Given : 2√y = x - y

Differentiate with respect to x.

(d/dx) [2√y] = (d/dx)(x - y)

2[1/(2√y)](dy/dx) = 1 - (dy/dx)

Substitute y' = (dy/dx)

[1/(√y)] y'= 1 - y'

[(y)] y'+ y' = 1

[y +1]y' = 1

y' = 1/[1+y]

The solution is y' = 1/[1+y]

answered Nov 4, 2014 by lilly Expert

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