posted by .

how would you differentiate this equation??

dy/dx + e^(x+y) = 0

  • calculus -

    Are you sure you want it differentiated? it looks more like a differential equation that one might want to solve. This can be done by rewriting it as
    dy/dx = -e^x * e^y
    dy/e^y = -dx*e^x
    e^-y dy = -e^x dx
    Integrate both sides
    -e^-y = -e^x + C where c is an abrbitrary constant
    This can be rewritten as y(x)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    implicit differentiate this equation in terms of y x^2y^2=(y+1)^2(4-y^2)
  2. trigo help!

    1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. differentiate 3/{sin(3x+pi)} 4. differentiate pxsin(q/x)where p and q are constants. 5. differentiate xsin(a/x) where a is constant 6. differentiate sec^3(3x^2+1)
  3. calculus

    I have been asked to solve this two different ways. The first way is to use the chain rule and then simplify (which I have already done properly), and the second way is to simplify and then differentiate (not necessarily with the chain …
  4. Calculus

    I think I have the correct answers for the following problems. For anyone who has the time I would appreciate it if you could tell me if I am correct/incorrect. Thank you. 1). Differentiate ã(x)sin x = (2xcosx+sinx)/2ã(x) 2). …
  5. calculus

    how would you differentiate (-(x^2+1)^{1/2))/(1/2)+ln(x+(x^2+1)^(1/2)
  6. Calculus

    How do I differentiate ln (2X^2 - 12X + Y^2 -10Y) and the second differentiate it?
  7. Calculus

    I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that …
  8. calculus

    Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
  9. Calculus

    Follow the steps below for the given function. (Do not use mixed numbers in your answers.) 2x + 5y = 1 Solve the equation for y. y = Differentiate this equation with respect to x. y ' = Complete the steps below to implicitly take the …
  10. Calculus

    Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives Calculus II?

More Similar Questions