The product rule is the method used to differentiate the product of two functions.
For instance, if we were given the function defined as: \[f(x)=x^2sin(x)\] this is the product of two functions, which we typically refer to as \(u(x)\) and \(v(x)\).
So, in the case of \(f(x)=x^2sin(x)\), we would define \(u(x)=x^2\) and \(v(x)=sin(x)\), to write: \[f(x)=u(x)\times v(x)\]
In the following tutorial we review the product rule and learn how to use it with some examples.
Consider the curve defined by \(y=2x.ln(x)\).