Partial derivatives of arccos
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!
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