Post a New Question

calculus

posted by .

a)find the first partial derivatives of f(x y)= x √1+y^2

b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)

  • calculus -

    f(x,y) = x√(1+y^2)
    fx = (√1+y^2)
    fy = xy/(√1+y^2)

    Just treat the other variables as constants.

  • calculus -

    fx=e^xlny
    fy=e^x/y

    fx=e^(0)ln(e)=1
    fy=1/e

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal
  2. calculus

    Just doing example questions to better understand. Find all first and second partial derivatives for the function u= xy^2+x^2y
  3. Calculus

    Find all first partial derivatives: f(x,y)=e^(xy)cosx
  4. Calculus - HELP plz!

    Find all of the first partial derivatives of f(x,y,z)=arctan y/xz
  5. math (2)

    Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ?
  6. calculus

    Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.
  7. Calculus III

    Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y …
  8. Calculus III

    Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y …
  9. Calculus III

    Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y …
  10. cal3

    Suppose that z=f(x,y) is defined implicitly by an equation of the form F(x,y,z)=0. Find formulas for the partial derivatives ∂f/∂x and ∂f/∂y in terms of F1,F2,F3 To enter your answer use F1, F2, F3 as the partial derviatives …

More Similar Questions

Post a New Question