What is the derivative of #sinx/(x^3-2x)#?
The first important thing to notice here is that your function is actually the quotient of two other functions, which means that you can use the quotient rule to differentiate it.
More specifically, these two functions are
Your function can thus be written as
The quotient rule tells you that you can differentiate a function that is the quitient of two other functions by
Another important thing to remember is that
So, the derivative of your function
This is equivalent to