For implicit differentiation, is dy/dx of x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}+y^{2}= 50 the same as y^{2}= 50 - x^{2}?

From what I can take it, it'd be a no since.

For x^{2}+y^{2}= 50,

d/dx (x^{2}+y^{2}) = d/dx (50) --- will eventually be ---> dy/dx = -x/y

Where,

y^{2}= 50 - x^{2}

y = sqrt(50 - x^{2})

dy/dx = .5(-x^{2}+50)^{-.5}*(-2x)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# B Implicit Differentiation

Have something to add?

Draft saved
Draft deleted

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**