"Given the vector space, C(−infty,infty) as the set of all continuous functions that are always continuous, is the set of all exponential functions, U={a^x∣a>=1}, a subspace of the given vector space? As far as I'm aware, proving a subspace of a given vector space only requires you to prove closure under addition and scalar multiplication, but I'm kind of at a loss as to how to do this with exponential functions (I'm sure it's way simpler than I'm making it). My argument so far is that the set U is a subset of the set of all differentiable functions, which itself is a subset of C(−infty,infty), but I doubt that argument would hold up on my test, given how we've tested for subspaces in class (with closure)."

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

$\frac{1}{\sec <!--\; \; -->(x)}$ in derivative?

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