- #1

- 646

- 1

[tex]f(x,y,z)=\sqrt{x^{2}+y^{2}+z^{2}}[/tex]

[tex]\vec{c}(t)=<cos(t),sin(t),1>[/tex]

I need to find:

[tex](f \circ c)'(t)[/tex]

and

[tex](f \circ c)'(0)[/tex]

I don't have any answers to work with, but I'm guessing I just stick f into c to get this:

[tex]\vec{c}(t)=<cos(\sqrt{x^{2}+y^{2}+z^{2}}),sin(\sqrt{x^{2}+y^{2}+z^{2}}),1>[/tex]

Then once I have that get the derivative matrix and plug in 0?