Question

What is the derivative of ln(y)sin(x)

Answer 1

You are going to have to use some implicit differentiation and the product rule here! So, let's just do that:
$\frac{d}{dx}[ln(y)sin(x)]$

Is equal to:
$( \frac{1}{x}* \frac{dy}{dx}*sin(x)) -$
$(\frac{sin(x)}{x} * \frac{dy}{dx}) - (ln(y)cos(x))$
Or:


That's your answer! Hope this helps, if anything doesn't make sense, hmu!