#### Question

In Euclidean three-space, let p be the point with
coordinates (x,y,z )= (1,0,-1). Consider the following curves that pass through
p:

(a) Calculate the components of the tangent vectors
to these curves at p in the coordinate basis {∂

_{x},_{ }∂_{y}, ∂_{z}}.
(b) Let

*f = x*. Calculate^{2 }+ y^{2}- yz*df ⁄ dλ , df ⁄ dμ , df ⁄ dσ*.#### Answer

If like me you are a bit rusty (40 years of rust in my case), this was a very good exercise and the Differentiation rules on Wikipedia are a handy reference.Click here for my answers in Ex 1.06 Differentiation.pdf.