Calculus

posted by .

How do you use imlicit differentiation to differentiate e^(xy)?

I have the problem "use implicit differentiation to find dy/dx.
e^(xy)+ x^2 - y^2 = 10. I've gotten to the point whereI have d/dx(e^(xy)) + 2x - 2ydy/dx = 0, but I can't go any further because I don't know how to use implicit differentiation to find e/dx(e^(xy)). It's been a while since I've done this and i don't remember, can someone refresh my memory? Thanks1

  • Calculus -

    e^(xy) + x^2 - y^2 = 10

    e^(xy) (xdy/dx + y) + 2x - 2y dy/dx = 0

    xe^(xy) dy/dx + ye^(xy) + 2x - 2y dy/dx = 0

    dy/dx (xe^(xy) - 2y) = -2x - ye^(xy)

    dy/dx = (2x + ye^(xy) ) / (2y - xe^(xy) )

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Calculus Question.

    hey can someone explain to me the relationship between the chain rule and implicit differentiation?
  2. 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.
  3. 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.
  4. calculus; implicit differentiation

    Use implicit differentiation to find the slope of the tangent line to the curve at the point (4,1) -1x^2 - 4xy + 3y^3 = -29 I differentiated both sides and solved for dy/dx and got 2x-4y/9y^2-4x. Then I plugged in X and Y and got -4/7 …
  5. calculus

    Alright so implicit differentiation is just not working out for me. Use implicit differentiation to find the slope of the tangent line to the curve at point (4,1). y / (x-2y) = x^3 + 4 Tried quotient rule to get the derivative of the …
  6. Calculus 1 Implicit differentiation

    Help please help me understand what i am doing wrong in this problem! x^3+3x^2y+y^3=8 find dy/dx using implict differentiation. The answer is x^2+2xy -------- but i keep getting x^2y x^2+y^2 ----- x^2+y^2
  7. Implicit Differentiation

    Use implicit differentiation to find the slope of the tangent line to the curve y/x+6y=x^2–6 at the point (1,–5/31) . Again i think i'm messing up with the algebra here. I used quotient rule to get [(x+6y)(y')-(y)(1+6y')]/(x+6y)^2=2x …
  8. 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 (:
  9. Calculus

    Use implicit differentiation to differentiate y=x8/37, by writing it as y37=x8. Express your answer only in terms of x.
  10. Calculus

    Use implicit differentiation to differentiate y=x^(8/37), by writing it as y^37=x^8. Express your answer only in terms of x.

More Similar Questions