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)
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
$\displaystyle \displaystyle \begin{align*} \frac{dy}{dx} = \frac{dy}{du} \, \frac{du}{dv} \, \frac{dv}{dx} \end{align*}$
where $\displaystyle \displaystyle \begin{align*} v = \tan{x} , u = \ln{v} \end{align*}$ and $\displaystyle \displaystyle \begin{align*} y = \ln{u} \end{align*}$.