- #1
thegirl
- 41
- 1
take the function f(x,y,z)
s.t dF=(d'f/d'x)dx+(d'f/d'y)dy+(d'f/d'z)dz=0 where "d'" denotes a curly derivative arrow to show partial derivatives
Mod note: Rewrote the equation above using LaTeX.
$$df = (\frac{\partial f}{\partial x} ) dx + (\frac{\partial f}{\partial y} ) dy + (\frac{\partial f}{\partial z} ) dz = 0$$
Is this statement true? (d'f/d'z)x=(d'f/d'z)y (the partial derivative of the function with respect to z at a constant x equal to the partial derivative of the function with respect to z with y as a constant?
Could someone explain this to me? Are those partial derivatives equal to each other?
s.t dF=(d'f/d'x)dx+(d'f/d'y)dy+(d'f/d'z)dz=0 where "d'" denotes a curly derivative arrow to show partial derivatives
Mod note: Rewrote the equation above using LaTeX.
$$df = (\frac{\partial f}{\partial x} ) dx + (\frac{\partial f}{\partial y} ) dy + (\frac{\partial f}{\partial z} ) dz = 0$$
Is this statement true? (d'f/d'z)x=(d'f/d'z)y (the partial derivative of the function with respect to z at a constant x equal to the partial derivative of the function with respect to z with y as a constant?
Could someone explain this to me? Are those partial derivatives equal to each other?
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