Partial derivatives of arccos

Hi All,

To be able to construct a Jacobian, I am asked to find the two partial derivatives of the following inverse trigonometric function:

I know that , but I am realy stumped at how to proceed from this to get the partial derivatives.

The anwers to the partian derivatives are given as:

Any help on how to arrive here would be much appreciated!

Kind regards,

Chris

Re: Partial derivatives of arccos

Use the **chain** rule. If , then, yes, the derivative of arcos(x) is .

Let so that

Now, the chain rule says that

You already know that

and now you need to multiply that by