Linerization of square root of sin(2x)

[songoku]

Homework Statement

Find the linerization of square root of sin(2x)

Homework Equations

The Attempt at a Solution

I don't even know how to start. What is linearization?

Thanks

 

[vela]

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.

 

[Mark44]

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.

 

[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 !