Ask a New Question
Menu

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

1 answer

Remember - treat the other variables like constants.

Since d/dx arctan(u) = u'/(1+u^2)

Fx = (-y/zx^2)/(1+ y^2/x^2z^2)
Fy = (1/xz)//(1+ y^2/x^2z^2)
Fz = -y/xz^2)/(1+ y^2/x^2z^2)

you can massage them a bit if you like.
Similar Questions
  1. find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+yand show that the mixed partial derivatives fxy and
    1. answers icon 0 answers
  2. Consider the partial derivativesfx(x,y)=4x3y7−20x3y, fy(x,y)=7x4y6−5x4. Is there a function f which has these partial
    1. answers icon 1 answer
  3. a)find the first partial derivatives of f(x y)= x √1+y^2b)find the first partial derivatives of f(x,y)= e^x ln y at the point
    1. answers icon 2 answers
  4. Find out the partial derivative w.r.t 'x' and 'y' off (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x
    1. answers icon 1 answer
more similar questions