Question

Find dy/dx: cos(x^2y^2)/sin(x^2y^2)=2

Answer 1

\[\frac{ dy }{ dx }: \frac{ \cos(x^2y^2) }{ \sin(x^2y^2) }=2x\]

Answer 2

I switched cos/sin to cot but now i'm lost

Answer 3

\[\cot(x^2y^2)=2x\]
First let's look at the inside on the left hand side.

Answer 4

Do you know how to differentiate x^2y^2 w.r.t x?

Answer 5

yes I can differentiate x^2y^2

Answer 6

ok what do you get when you differentiate that?

Answer 7

and then what is the derivative of cot(x) w.r.t x?

Answer 8

here i will help you out a little
the derivative of cot(x) w.r.t x is -csc^2(x)

Answer 9

\[(x^2y^2)'(-\csc^2(x^2y^2))=(2x)'\]

Answer 10

let me know if you need more help