Mixed Partial and non-partial derivative definition

[terryphi]

Hi,

I have a derivative that states

grad f(x,y,z) = [die f/dx ; die f/dy; die f/dz]

I'm just wondering how I should interpret this partial derivative with respect to a non partial derivative.

 

[dmriser]

If you're looking to find the gradient vector to some function f of parameters x. y, z.. Try the following equation:

$$\nabla f = \frac{\partial f}{\partial x}i + \frac{\partial f}{\partial y}j + \frac{\partial f}{\partial z}k$$

Where the i j k components are the partial derivatives of the function f with respect to the indicated variable.

If this is not what you're referring to you may need to look at the chain rule as it applies to partial derivatives.