Recent content by sviego

Hi jtbell! What an interesting addition to Orodiun's response, I really appreciate it. That makes so much sense! Simply put, the derivative describes the microscopic change in y and x as x approaches zero.

Hi Orodruin! This is my first time writing on these forums, so thanks for the help. I see, so "dx" is simply shorthand for the denominator of the limit where dx→0 when dx = h and h→0.

Wow, this was really informative! Thank you Stephen. I meant "the derivative of x(^2)," but as a random example. I see now, however, that we're not trying to find the derivative of x because (and thanks to limits) the denominator for dx is simply zero. The history of derivatives without...

My theory is that dx = 1(x^0) = 1, which would mean d/dx(x^2) = 2(x^1)/1(x^0) = 2x/1 = 2x. I know that the derivative is literally the change in "y" over change in "x," but am confused as to what value the change in "x" has.