Question

Uncertainty question: partial derivatives with data collected

Answer 1

I've collected data: ranges and thetas

and the equation is a square rooted rational function.

Answer 2

\[\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\]

Answer 3

only when a and b will always be positive

Answer 4

should i take the derivative knowing that the theta function will always be positive and the range is going to be positive?

Answer 5

What do you want to get by taking derivative?

Answer 6

partials i need partials for the propagation of uncertainty

Answer 7

You want to find the uncertainty of what function?

Answer 8

Yes, you just need to take partial derivative for x and R,

Answer 9

If that so, need to take for gravity too.

Answer 10

Yes, they are Sources of uncertainty that will propagate to the function.

Answer 11

Hmm, when partial derivating with respect to g, we consider everything else constant. \[\frac{\partial f}{\partial g}=\sqrt{\frac{-R}{\sin2x}}\frac{1}{2\sqrt{g}}\]