Question

if xy =4 then dy/dx = ? and please explain it

Answer 1

Apply product rule with respect to x:

Answer 2

how do I solve this then? I am new to calculus

Answer 3

differentiate you'll get xy'+y=0

Answer 4

\[\text{Use the product rule, }\frac{d}{dx}(u v)=v \frac{du}{dx}+u \frac{dv}{dx}\text{, where }u=x\text{ and }v=y\]

Answer 5

Basically for product rule I think of like this,
xy =4

(copy left)(differentiate right) + (copy right)(differentiate left)
where "left" is "x" and right is "y"

so when you differentiate,
(x)(dy/dx)+(y)(1)=0

Answer 6

This is implicit differentiation, did you learn the basics of differentiation first?

Answer 7

no, I started today. I was doing limit before it. Can you suggest me good tutorials on differntiation and derivative ..

Answer 8

its very helpful what you explained here but I need to clear the basic concepts of derivative first to solve this equation.

Answer 9

here's one
http://www.youtube.com/watch?v=uPCjqfT0Ixg&list=PL58C7BA6C14FD8F48&index=20&feature=plpp_video

Answer 10

thank you very much ..

Answer 11

have you tried khanacademy?