Aug 11, 2006the derivative of the function \ (\frac {1} {x^n}) can be simplified by rewriting it as \ (x^ {-n}). Oct 28, 2007we know the derivative would be the denominator times the derivative of the numerator (which would be zero in this case), minus the numerator times the derivative of the denominator. Oct 15, 2013another participant clarifies that the derivative of ln (x) is 1/x, applicable only for x > 0, and similarly for ln (-x) when x < 0, indicating that the absolute value is indeed relevant for integration.
May 1, 2023the discussion revolves around the representation of the derivative as a matrix, particularly in the context of polynomials and potentially more general functions. I have graphed the curve and the derivative will leads to plus zero (+0) when x --> infinity. So in the domain of 0<x<inf, the derivative must be positive.
Feb 9, 2005the discussion centers around the question of why the derivative of the function e^x is equal to e^x itself.
