Using differentials to approx error

[rdn98]

I need help with these type of problems badly.

Here's one I'm stuck on.

The period of a simple pendulum with small oscillations is calculated from the forumula T=2*pi*sqrt(L/g)
Where L is the length of the pendulum and g is the acceleration of gravity.

If the values of L and g have errors of at most 0.5% and 0.1% resprectively, use differentials to approx the maximum % error in T.

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Just looking at this makes my head spin. So how do I start this baby off?

 

[StephenPrivitera]

How about differentiating?

 

[HallsofIvy]

You should know: if f is a function of x and y (f(x,y)), then
df= (∂f/∂x)dx+ (∂f/∂y)dy.