2015年5月25日 · What is the derivative of #f(x)=sqrt(1+ln(x)# ? What is the derivative of #f(x)=(ln(x))^2# ? See all questions in Differentiating Logarithmic Functions with Base e

2015年4月18日 · How do you find the derivative of #ln x#? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e. 2 Answers

2014年8月2日 · The derivative of y=ln(2) is 0. Remember that one of the properties of derivatives is that the derivative of a constant is always 0. If you view the derivative as the slope of a line at any given point, then a function that consists of only a constant would be a horizontal line with no change in slope. That is why the derivative of any constant …

2015年3月5日 · Let #ln(x) = t# #=> x=e^t# #=> dx = e^tdt# Substituting in the Integral, #I = intte^tdt# On integrating by parts, keeping the first function as #t# and second function as #e^t#, we get. #I = tinte^tdt - int(dt/dtinte^tdt)dt# Which is, simply, #I = te^t - e^t + C# #=> I = e^t ( t-1) + C#. Substituting the value of #t = ln(x)#, #intln(x)dx = x[ln ...

2016年6月29日 · The integral (antiderivative) of #lnx# is an interesting one, because the process to find it is not what you'd expect.

2016年1月1日 · What is the derivative of #f(x)=sqrt(1+ln(x)# ? What is the derivative of #f(x)=(ln(x))^2# ? See all questions in Differentiating Logarithmic Functions with Base e

2016年5月30日 · The f here is the external ln, while the g is the internal ln(x). The derivative of the logarithm is \frac ...

2014年7月28日 · y'=-1/x Full solution y=ln(1/x) This can be solved in two different ways, Explanation (I) The simplest one is, using logarithm identity, log(1/x^y)=log(x^-y)=-ylog (x ...

2016年8月13日 · d/dx (lnx^2) = 2/x f(x) = lnx^2 f'(x) = 1/x^2 * 2x (Standard differential and Chain rule) =2/x

2016年5月31日 · Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions without Base e. 1 Answer . Matt M.