Question

Someone please help!! Calc 1!! Implicit differentiation
xy^1/3+y=10

Answer 1

what have you tried?

Answer 2

i see product and power rule ... and implicit tends to mean a chain rule as well

Answer 3

@ninab731

Answer 4

ab + c = k

a'b + ab' + c' = k'

Answer 5

I am trying to get online on my computer am on my iPad !!

Answer 6

ok am here !!
so far i have
\[\frac{ d }{ dx }(xy^1/3)+\frac{ d }{ dx }(y)=\frac{ d }{ dx}(10)\]

Answer 7

im not fond of the d/dx notation for most things

Answer 8

10'=0
y' = y'

work your product rule

Answer 9

\[1(\sqrt[3]{y})+x(\frac{ 1 }{ 3y ^{\frac{ 2 }{ 3 }} })+y'=0\]

Answer 10

whenever we implicit a y variable, the chain rule pops out a y'

Answer 11

\[1(\sqrt[3]{y})+x(\frac{ 1 }{ 3y ^{\frac{ 2 }{ 3 }} })~y'+y'=0\]

Answer 12

\[\frac{ x }{ 3\sqrt[3]{y^{2}} }y' +y' = -\sqrt[3]{y}\]

Answer 13

You can solve for y' from here.

Answer 14

thank you both!