Home » Blog » Compute derivatives of F(t) = (arcsin t, arccos t) Compute derivatives of F(t) = (arcsin t, arccos t) by RoRi May 31, 2016 Compute the derivatives and where is the vector valued function We compute Related
July 18, 2023 at 2:08 am S says: Seems like both here and in the book, F” is wrong. The solution I got is (t/(1-t^2)^3/2, -t/(1-t^2)^3/2).
and 
where 
is the vector valued function![\[ F(t) = (\arcsin t, \arccos t). \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-903ab703a1652dc1e7507e89278b5555_l3.png "Rendered by QuickLaTeX.com")
and where is the vector valued function
Seems like both here and in the book, F” is wrong. The solution I got is (t/(1-t^2)^3/2, -t/(1-t^2)^3/2).