The discussion centers on the notation for derivatives in multivariable chain rules, specifically addressing the ambiguity in differentiating the function \( f \) with respect to its variables. The correct notation suggested is \( \frac{d}{dz} f(x, 2z - x) = 2 D_2f(x, 2z - x) \), which clarifies the differentiation with respect to the second variable. Participants emphasize the importance of using clear notations, recommending the use of \( D_1f \) and \( D_2f \) to denote derivatives with respect to the first and second variables, respectively.
PREREQUISITESStudents and professionals in mathematics, particularly those studying calculus, as well as educators looking to clarify notation in multivariable differentiation.
This notation is ambiguous, because it is not clear whether you differentiate ##f## w.r.t. the first or second variable. So I would writehojoon yang said:Hi
I understood above differential
## typo. RHS= 2*f ' (x,2z-x)
Same comment as above. Change the first ##f'## to ##D_1f## and the second ##f'## to ##D_2f##.hojoon yang said:but, what is answer of below equation?
is this right?
f ' ( g(z),2z-x) * g' (z) + f ' ( g(z),2z-x) *2