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by Coolmpl2
Thu Oct 11, 2012 12:14 am
Forum: Calculus
Topic: Implicit differentiation with tan: dy/dx for tan(xy)
Replies: 2
Views: 3596

Implicit differentiation with tan: dy/dx for tan(xy)

What would dy/dx of tan(xy) be using implicit differentiation be?
by Coolmpl2
Thu Oct 11, 2012 12:11 am
Forum: Calculus
Topic: Implicit differentiation: find y'(1)
Replies: 1
Views: 1368

Implicit differentiation: find y'(1)

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?

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