The problem involves finding the approximate percentage changes in the function y = f(x) = x² resulting from a 2% increase in x. Participants are discussing the use of derivatives in this context.
Participants are exploring different interpretations of the problem, particularly regarding the use of derivatives and the role of the variable x in the solution. There is no explicit consensus, but some guidance has been offered regarding the correct derivative to use.
There seems to be confusion regarding the parameter 't' mentioned in the original poster's attempt, as well as the requirement to express the answer without variables. This may be influencing the discussion.
hvidales said:Would it be because your supposed to take the second derivative of it? That would make it just 2. I think as the question wants no variables in it too.
Pengwuino said:What is 't'? You have [itex]y = x^2[/itex] and x seems to have no dependence on a parameter 't'. You simply need to determine [itex]{{dy}\over{dx}}[/itex]
And no, there are no second derivatives involved.
Cbray said:Do you mind filling me in a bit more, i.e. is my working wrong apart from that