find the derivative of this function

**arsenal12345** · September 19th 2012, 09:07 PM

how do i do this

find the derivative of this funtion.
y= ln (ln(tanx))

derive the following properties of log x:
a

how do i do this ?

log U/v = log u-log v
a a a

(the a's are the littlle number/letter at the bottom of log)

**Prove It** · September 19th 2012, 09:11 PM

Originally Posted by arsenal12345

how do i do this

find the derivative of this funtion.
y= ln (ln(tanx))

derive the following properties of log x:
a

how do i do this ?

log U/v = log u-log v
a a a

(the a's are the littlle number/letter at the bottom of log)

You should use the chain rule. In this case, since you have a composition of another composition, you'll need to use the chain rule twice. So

$\displaystyle \begin{align*} \frac{dy}{dx} = \frac{dy}{du} \, \frac{du}{dv} \, \frac{dv}{dx} \end{align*}$

where $\displaystyle \begin{align*} v = \tan{x} , u = \ln{v} \end{align*}$ and $\displaystyle \begin{align*} y = \ln{u} \end{align*}$ .

**arsenal12345** · September 19th 2012, 09:46 PM

Originally Posted by Prove It

You should use the chain rule. In this case, since you have a composition of another composition, you'll need to use the chain rule twice. So

$\displaystyle \begin{align*} \frac{dy}{dx} = \frac{dy}{du} \, \frac{du}{dv} \, \frac{dv}{dx} \end{align*}$

where $\displaystyle \begin{align*} v = \tan{x} , u = \ln{v} \end{align*}$ and $\displaystyle \begin{align*} y = \ln{u} \end{align*}$ .

what about the question below that ?

**Prove It** · September 20th 2012, 12:50 AM

Originally Posted by arsenal12345

what about the question below that ?

You're welcome ><

**arsenal12345** · September 20th 2012, 12:52 AM

Originally Posted by Prove It

You're welcome ><

sorry please accept my apologies for my lack of manners

Thread: find the derivative of this function

LinkBack

Thread Tools

Display

find the derivative of this function

Re: find the derivative of this function

Re: find the derivative of this function

Re: find the derivative of this function

Re: find the derivative of this function

Similar Math Help Forum Discussions

how to find the first derivative for this function?

How to find the derivative of this function

Find the derivative of the function..

How to find the derivative of a function

Find derivative of function?

Search Tags