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Implicit Differentiation HELP PLZ!!! (1 Viewer)

PebblesRock

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Hey guys i was wondering if u could help me with this question about implicit differentiation:
(y/x)^1/2 + (x/y)^1/2 = a

The answer to the question is:
(2((xy)^1/2)-ay)/(ax-2((xy)^1/2)) = y/x

if anyone has any idea why the a still remains can u tell me :/ be best if u could show me the full working out
 

math man

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Is the question to implicitly differentiate
It cause there is no dy/dx in the supposed
Answer
 

Rezen

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Hint: rearrange the equation into the form x+y = a(xy)^1/2

Edit: I think he made a typo on the right side and means dy/dx instead of y/x
 

Rezen

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Then the answer probably has that typo. I got the left hand side as my derivative.
 

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