The discussion revolves around finding the partial derivatives of the function T(x, y, z) = 200e^(−x^2−3y^2−9z^2). Participants express uncertainty regarding the correct approach to differentiate this function with respect to the variables x, y, and z.
Some participants have provided corrections to the original attempts, suggesting a more accurate expression for the derivative. There is ongoing exploration of the reasoning behind these corrections, with participants questioning the validity of their initial assumptions and calculations.
There appears to be a lack of clarity regarding the terminology used for partial derivatives, as well as confusion about the application of differentiation rules. Participants are also navigating the conventions of notation in this context.
This is not quite the correct partial derivative of T with respect to x. That's the terminology that is usually used.killersanta said:Homework Statement
T(x, y, z) = 200e^(−x^2−3y^2−9z^2 )
I'm not sure how to get the derivative in terms of x,y or z.
The Attempt at a Solution
For x: -200x^2e^(−x^2−3y^2−9z^2 )(-2x)? Is this right? Probably not, how do i do it?
Mark44 said:Do you understand why that x2 factor you had shouldn't be there?