Question $5$

Use logarithm differentiation techniques to determine the $y^l$ of the following functions:

$5\mathrm{.}1y=\frac{(lnx)(cos3x)}{x^{2}sin3x}.$

$5\mathrm{.}2y=\frac{e^{3t}sin(2t)}{5t}.$

Question $6$

Determine the derivatives of the following inverse trigonometry functions

$6\mathrm{.}1f(x)=ta{n}^{-1}\sqrt[\phantom{2}]{x}.$

$6\mathrm{.}2h(t)=\sqrt[\phantom{2}]{t}co{s}^{-1(e^t)}.$

$[$TOTAL: $50]$