Calculus implicit
posted by josephine .
find y' by implicit differentiation.
i don't understand, its so complicate.
1. 4cos(xy)=3ysinx
2. 4sin(xy) =3ysinx

Calculus implicit 
David
4sin(xy)*d(xy)=3y' + 3ycosx
On the left I applied the chain rule, and on the right i used the product rule.
4sin(xy)*(1y')=3y' + 3ycosx
Differentiate x  y and get 1  y'
Then do algebra to solve for y'
4sin(xy)  y'*4sin(xy) = 3y' + 3ycosx
3y' + y'*4sin(xy) = 4sin(x2)  3ycosx
y' = [4sin(x2)3ycosx]/[3+4sin(xy)]
Try the other one yourself. 
Calculus implicit 
josephine
ok i'll try another, thanks

Calculus implicit 
Damon
oh
d/dx cos u =  sin u du/dx
You forgot the  sign 
Calculus implicit  oops 
Steve
also missed on the right side :(
4cos(xy)=3ysinx
4sin(xy)(1y') = 3sinx*y' + 3ycosx
4sin(xy) + 4sin(xy)*y' = 3sinx*y' + 3ycosx
y'(4sin(xy)  3sinx) = 3ycosx + 4sin(xy)
3ycosx + 4sin(xy)
 = y'
4sin(xy)  3sinx
Respond to this Question
Similar Questions

Math  Calculus Question.
hey can someone explain to me the relationship between the chain rule and implicit differentiation? 
Calculus 1  implicit differentiation
I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered. 
Calculus 1  implicit differentiation
I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered. 
Implicit (calculus)
Can someone explain implicit differentiation to me like I am a kindergarten? 
calculus
Given y^4 x^4=16 find and simplify d2y/dx2 using implicit differentiation. I got the first derivative which was x^3/y^3 and no im am stuck on using implicit differentiation for the second derivative part 
Calculus
How do you use imlicit differentiation to differentiate e^(xy)? 
Implicit differentiation calculus
PLEASE HELP , I DON'T UNDERSTAND find dy/dx by implicit differentiation a) xy + x^5y^2 + 3x^3  4 = 1 b) lny = cos x thank you 
calculus
Find the derivative of the function 1)f(t)=tan(e^2t)+e^tan2t f'(t)= [im not quite sure with this. im assuming the implicit differentiation] 2) F(t)=e^(8tsin2t) [for this one i got 2e^(8t)(4sin(2t)+cos(2t)) but it is incorrect. 
Calculus [Implicit Differentiation]
If √x+√y=10 and y(16)=36, find y'(16) by implicit differentiation. If somebody could please help me by explaining how to solve this problem ! Thank you (: 
Calculus: implicit differentiation
Find dy/dx by implicit differentiation 1. x^3 xy+ y^2= 7 The given answer is (y3x^2)/ (2yx), but I'm not getting it. 2. How would I do this one?