Question

Let f be the function given by f(x)=3e^(2x) and let g be the function given by g(x)=6x^3. At what value of x do the graphs of f and g have parallel tangent lines?

Answer 1

right, so you want to find two tangent lines such that their slopes are equivalent
so we do the normal process of finding tangent lines of a function. first, take the derivative of both f(x) and g(x), can ya do that?