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Check whether I am correct in Chain Rule

  1. Oct 29, 2013 #1
    If ##r## is a function of ## x,y##, then
    [tex]\delta r= \frac{\partial r}{\partial x}\delta x + \frac{\partial r}{\partial y}\delta y[/tex]
    Means

    Small change of r = ##\left[\frac{\partial r}{\partial x}\right]_{y=k}## X (Small change of x) + ##\left[\frac{\partial r}{\partial y}\right]_{x=k}## X (Small change of y)

    Where ##k## is a constant.
     
  2. jcsd
  3. Oct 29, 2013 #2

    arildno

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    Except that your (k,k)-point in the (x,y)-plane should be replaced with the arbitrary (x_0,y_0)-points, that is the constant values of x and y need not be the same.
     
  4. Oct 29, 2013 #3
    Thanks, I meant k is some constant, I should have specified the two need not be the same.
     
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