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)

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- Sep 19th 2012, 09:07 PMarsenal12345find the derivative of this function
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) - Sep 19th 2012, 09:11 PMProve ItRe: find the derivative of this function
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

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

where $\displaystyle \displaystyle \begin{align*} v = \tan{x} , u = \ln{v} \end{align*}$ and $\displaystyle \displaystyle \begin{align*} y = \ln{u} \end{align*}$. - Sep 19th 2012, 09:46 PMarsenal12345Re: find the derivative of this function
- Sep 20th 2012, 12:50 AMProve ItRe: find the derivative of this function
- Sep 20th 2012, 12:52 AMarsenal12345Re: find the derivative of this function