Here y can be assumed as a function of any independent variable ! I want the differentiate its present value of f(x(n)) with respect to its past value f(x(n-1)
Sir i consulted one of my math professor and he proposed that when a function(or value) is differentiated by its past value the difference between the two values is considered as the answer for that differentiation ! To be specific its a partial differentiation !
Ok, suppose that y=f(x) is a function. Let z=f(x+1). If we can solve and say x=g(y), then z=f(g(y)+1). And then dz/dy can be easily found, I guess. For instance let y=x^2, x>=0. Then x=sqrt(y). And then z=(x+1)^2=y+1+2sqrt(y), which gives dz/dy=1+1/sqrt(y).
Now, whats that has to do with partial derivatives?
Sorry Hanspeter, I still don't get it. Perhaps the op can clarify.
Sir i was working with neural network where i encountered such a problem when i backpropagated the error ! I did find out that my calculations were wrong ! I am deeply sorry that i had troubled u all this much ! I figured out that i never encountered the above situation(my question) ! Thank you all !
- Badges
- Science topic
- Similar topics
- Mathematics