could you explain to me what implicit differentiation is? it's pretty annoying.

Question

could you explain to me what implicit differentiation is?  it's pretty annoying.

anonymous · Answer

post some problems

anonymous · Answer

yea.. its easier to explain with an example!

anonymous · Answer

sorry. i have some examples here. 

x^2 - xy^2 +x^2 +y^2 = 0

anonymous · Answer

its chain rules

anonymous · Answer

pretty much, all the other rules still apply , product, quotients etc

anonymous · Answer

hres the deal trt y and x as seprate  functions

anonymous · Answer

also I think you made a mistake with the question, is there really 2 x^2 terms

anonymous · Answer

f = g(y)

df/dx = g'(y) dy/dx

anonymous · Answer

its kinda hard to explain over the net, but yeh

anonymous · Answer

differentiate y with respect to x , you get dy/dx ( obviously )

anonymous · Answer

Say u have y^5 -y = x, then it's difficult to make y the subject (isolate y, if that's the jargon) and differentiate normally (explicitly).

Instead you can 5y^4 dy/dx - dy/dx = 1 and then factor out dy/dx (which is what you are looking for).