Deriving ln(x) series - Physics Forums
2007年12月9日 · How do you go about deriving the series expansion of ln(x)? 0 < x I got the representation at math.com but i'd still like to know how they got it. It's been a while since i did calc. iii. Thanks. John
How do you find the derivative of # (ln(ln(ln(x))) - Socratic
2016年9月1日 · Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Calculators. 1 Answer . A. S. Adikesavan
How to integrate (ln x)(squared) - Physics Forums
2006年2月6日 · How to integrate: (ln x)(to the power of 2) Thanks . Physics news on Phys.org
How do you find the limit of (ln (ln (x) ) ) / ( ln (x) ) as x ...
2016年5月2日 · How do you find the limit of #(ln (ln (x) ) ) / ( ln (x) ) # as x approaches #1#? Calculus Limits Determining Limits Algebraically. 1 Answer
Understanding Why ln(x) and e Cancel Out - Physics Forums
2012年8月4日 · e^x and ln(x) are inverse functions to each other. Another way to say that is that ln(x) is the power you'd have to raise e to in order to get x. But then we go ahead and raise e to that power ... so we get x. In other words, e ln(x) = x. Any of that correspond to what you were shown in class?
How to prove ln(x) < sqrt(x) for all x>0 - Physics Forums
2010年9月27日 · So let's take the derivative of ln(x) d/dx (ln(x)) = 1/x Then of sqrt(x) d/dx (sqrt(x)) = 1/(2sqrt(x)) As x goes to infinity, 1/2 becomes useless, and for simplicity sake let's remove it. 1/x < 1/(2sqrt(x)) --> 1/x < 1/sqrt(x) Then we can clearly see that as x increase to infinity, the rate of change of sqrt(x) is greater then ln(x).
How Do You Calculate Error Uncertainty for ln(x)? - Physics Forums
2013年11月28日 · For larger changes in x, say x → x+a, you can Taylor-series-expand ln (x + a). The first term is of course the above = ln x + a/x , then the higher terms give you better accuracy. In your case, x = 10 and a = 1, the small-change approximation above gets you to within 0.9980 of the correct answer.
I need a method to calculate ln(x) for small x, other than Taylor ...
2011年1月26日 · I'm aiming to calculate ln(x) numerically. I'm using the following procedure for this: 1) If x is greater or equal to 1, use Newton's method. 2) If x is smaller between 0 and 1, use Taylor series expansion. Newton's method works good, but I have problems with Taylor series expansion method...
Does ln[ln(x)] = ln(x) * ln(x) - Physics Forums
2010年1月23日 · And generally speaking, f(f(x)) is different from f(x)*f(x). It's the difference between function composition (evaluation a function of a function) and function multiplication. Jan 24, 2010
How can log(x) = ln(x)/ln(10)? - Physics Forums
2016年8月7日 · MHB Finding Domain for Natural Log with Exponent f(x)=ln(x^2−5x) Sep 26, 2018; Replies 6 Views 2K.