- #1
- 658
- 5
Suppose we change x in y = f(x) from x to x+dx, then y changes from f(x) to f(x+dx). But suppose if we change y from y to y+dy, then can we determine how x changes? Why or why not? Is it because y is a function of x and not vice-versa?
The way you defined y (as f(x)) means that y depends on x and you are supposed to take the result of f(x) and put it into y. Changing the y without changing the x is sort of violating the rules.andyrk said:Suppose we change x in y = f(x) from x to x+dx, then y changes from f(x) to f(x+dx). But suppose if we change y from y to y+dy, then can we determine how x changes? Why or why not? Is it because y is a function of x and not vice-versa?