Derivative Of Lnx

derivative of lnx represents a topic that has garnered significant attention and interest. Proof of the derivative of $\ln (x)$ - Mathematics Stack Exchange. Note, however, that this assumes that $\ln x$ is differentiable. (That is required if you want to use the chain rule) So unless you have proved that $\ln x$ is differentiable, this proof cannot work. Additionally, as far as I can see, there is no better way to prove that $\ln x$ is differentiable that to calculate the derivative explicitly. Why is the derivative of Ln (x) equal to 1/x with no domain restricted?.

1 When we get the antiderivative of 1/x we put a absolute value for Ln|x| to change the domain so the domains are equal to each other. But my question is then why do we not do this for the derivative of Ln (x)? Derivative Of $\\ln(x)$ - Mathematics Stack Exchange. Here you used that the derivative of ex e x is ex e x which is not what OP wanted, although this is what I would do normally as well.

Use logarithmic differentiation to find $\frac {dy} {dx}$ of $y= (\ln x .... This perspective suggests that, i've been asked to find the derivative of $\ln x^ {\ln x}$ using a method called "logarithmic differentiation". I'm not familiar with this method of differentiation, and a search on Wikipedia doesn'...

Is this proof that the derivative of $\ln (x)$ is $1/x$ correct?. That said, this is a strange exercise. Presumably you have defined $\ln$ as the inverse of exponentiation, so that $$ \exp (\ln (x)) = x .

Similarly, $$ Then the formula for the derivative of $\ln$ follows from the chain rule. Finding the $n$-th derivatives of $x^n \ln x$ and $\frac {\ln x} {x}$.. The $n$th derivative is a sum of terms, each corresponding to a sequence of length $n$.

If any of the first $n$ functions appears twice, then the corresponding term is zero, since $x''=0$. So the general term lists $k$ different functions out of the first $n$, and the other one ($\ln x$) appears in the remaining $n-k$ positions. In relation to this, calculus - $\ln|x|$ vs.$\ln (x)$? When is the $\ln$ antiderivative ....

One of the answers to the problems I'm doing had straight lines: $$ \\ln|y^2-25|$$ versus another problem's just now: $$ \\ln(1+e^r) $$ I know this is probably to do with the absolute value... calculus - Derivative I do not understand: $\ln (\ln x)$ - Mathematics .... 2 I'm currently taking Calculus. I'm pretty good with derivatives apart from when it comes to logarithmic differentiation etc. Here is one I'm having problems with, if anyone could help that would be appreciated.

Another key aspect involves, $$ f (x)=\ln (\ln (x) ) .$$ Can someone please explain the derivative of this? logarithms - How to get the derivative of $ (\ln (x))^ {\sec (x .... I am not quite sure of the derivative of x^x.