Proving maximum speed of a mass on a spring is 2πfA

[Fittler]

How can I prove that the maximum speed (Vmax) of a mass on a spring is given by 2(pi)fA?

Where:
f= frequency
A= amplitude
pi= pi (3.14)

How can I do this?

 

[berkeman]

Write the equation of motion for the mass attached to a spring. Now, do you remember from calculus how to find the maximum of that equation?

 

[Fittler]

I am so not a math buff. I do not even have my grade 11U Math. I am wokring through my math this semester. hehe. So, I have, in this physics course, come inot some difficulties. You know? Is the equation of motion for a mass attached to a spring Fx = kx?