Question

find y' by implicit differentiation. 7/x+7/y=4

Answer 1

Any attempts
?

Answer 2

It's so hard to read that with all the fraction bars.
Is this the function?
\[\Large\rm \frac{7}{x}+\frac{7}{y}=4\]
You can write it like this if it's easier to apply your power rules,\[\Large\rm 7x^{-1}+7y^{-1}=4\]

Answer 3

What part are you getting stuck on? :U

Answer 4

am i
suppose to put this in implicit form before doing the power rule?

Answer 5

\[\rightarrow -7x^{-2} -7y^{-2}(y') = 0\]
that is the differentiation
now solve for y'
\[y' = \frac{7x^{-2}}{-7y^{-2}} = -\frac{y^2}{x^{2}}\]