Question

(y/(x-9y)=6x^2-4) find the slope of the tangent line to the curve using implicit differentiation
the points (1,-3/-26)

Answer 1

You can do this.

Answer 2

i used a quotient rule for (y/(x-9y) but i ran it to a problem

Answer 3

what was it?

Answer 4

\[
\left(\frac{y}{x-9y}\right)'=\frac{y'(x-9y)-y(1-9y')}{(x-9y)^2}
\]

Answer 5

Is this what you did?

Answer 6

this is wat i had (x-9y)(y')-y(x-9y')/(x-9y)^2 = 6x

Answer 7

\[
(x-9y)'=1-9y'
\]

Answer 8

\[
(6x^2-4)'=12x
\]

Answer 9

so how can i isolate the y'?

Answer 10

nvm

Answer 11

help me with this one
sin(xy)+x+y^{5} = c .
Use implicit differentiation to find the derivative of the family of curves

Answer 12

@dan815

Answer 13

Well, use chain rul

Answer 14

\[
(xy)'=y+xy'
\]

Answer 15

So\[
\cos(xy)(y+xy')+1+5y^4y'
\]