- Thu Oct 11, 2012 12:14 am
- Forum: Calculus
- Topic: Implicit differentiation with tan: dy/dx for tan(xy)
- Replies:
**2** - Views:
**7180**

What would dy/dx of tan(xy) be using implicit differentiation be?

- Thu Oct 11, 2012 12:11 am
- Forum: Calculus
- Topic: Implicit differentiation: find y'(1)
- Replies:
**1** - Views:
**1700**

If 3x^2+2xy+y^2=2 then what is the value of y'(1)?

My steps so far:

6x+2xy'+2y+2yy'=0

3x+xy'+y+yy'=0

Yy'+xy'=-3x-y

Y'=(-3x-y)/(y+x)

Would it be possible to find this or would the answer not be defined due to the two variables?

My steps so far:

6x+2xy'+2y+2yy'=0

3x+xy'+y+yy'=0

Yy'+xy'=-3x-y

Y'=(-3x-y)/(y+x)

Would it be possible to find this or would the answer not be defined due to the two variables?