Question

How do you differentiate `f(x)=ln2x * cos3x` using the product rule?

Answer 1

It is

#(df(x))/dx=(d(ln2x))/dx*cos3x+ln2x*(d(cos3x))/dx=> (df(x))/dx=[((2x)')/(2x)]*cos3x+ln2x*(-sin3x)*3=> (df(x))/dx=(cos3x)/x-3ln2x*sin3x#