Posted by stacey on Wednesday, February 29, 2012 at 12:07am.
its difficulty problem.
find dy/dx by implicit differentiation
1.4 cos x sin y = 1
2.tan(x/y)= x+y

Calculus AP need help!  stacey, Wednesday, February 29, 2012 at 12:09am
1.) 4 cos x sin y = 1
2.) tan(x/y)= x+y

Calculus AP need help!  Steve, Wednesday, February 29, 2012 at 12:06pm
using product rule and chain rule,
4 (sinx)(siny) + 4(cosx)(cosy y') = 0
y' = sinx*siny / cosx*cosy
= tanx * tany

sec^2(x/y)*(1/y  x/y^2 * y') = 1 + y'
y*sec^2(x/y)  y^2
 = y'
y^2 + x*sec^2(x/y)
Answer This Question
Related Questions
 Trig  Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...
 Calculus  Find dy/dx for y=sin(x+y) A. 0 B. (cos(x+y))/(1cos(x+y) C. cos(x+y) ...
 calculus  Find dy/dx by implicit differentiation. sin x = x (1 + tan y)
 Calculus  Find dy/dx of 3 sin x cos y = 2 using implicit differentiation.
 Implicit differentiation calculus  PLEASE HELP , I DON'T UNDERSTAND find dy/dx ...
 Calculus  Use implicit differentiation to find dy/dx if cos xy = 2x^2  3y. I'm...
 precalculus  For each of the following determine whether or not it is an ...
 Calculus (repost)  Use implicit differentiation to find dy/dx if cos xy = 2x^2...
 Precalculus help  I have two problems I am stuck on, if you could show me how ...
 Mathematics  Trigonometric Identities  Let y represent theta Prove: 1 + 1/tan^...
More Related Questions