Linerization of square root of sin(2x)

1. Feb 18, 2010

songoku

1. The problem statement, all variables and given/known data
Find the linerization of square root of sin(2x)

2. Relevant equations

3. The attempt at a solution
I don't even know how to start. What is linearization?

Thanks

2. Feb 18, 2010

vela

Staff Emeritus
It's just coming up with a linear approximation for the function about some point, that is, finding the first-order Taylor polynomial of the function expanded about a given point.

3. Feb 19, 2010

Staff: Mentor

Assuming you want to use a linear approximation of the function for some x near a, the linearization is
f(x) $\approx$ f(a) + f'(a)(x - a)

That's what vela was talking about when he mentioned the first-order Taylor polynomial. The "linear" part means that x appears to the first power only -- no higher powers.

BTW, this really seems like a calculus problem, so you probably should have posted it in the Calculus & Beyond section.

Last edited: Feb 19, 2010
4. Feb 22, 2010

songoku

Hi vela and Mark

sorry I don't know that linearization is related to equation of tangent, so it's related to differential. thanks a lot !!