myrmepropagandist on Nostr: My favorite kind of calculus problem: “If g(x) is always negative and concave down ...
My favorite kind of calculus problem:
“If g(x) is always negative and concave down show that h(x)=[g(x)]^4 is always concave up.”
Not too many numbers, some chances to use the core rules and some relaxing logical reasoning. This is also my brother’s *least* favorite kind of problem “because it’s not about anything” — he wants those boring questions about cars accelerating and such. (why do I care if Jane gets a ticket? I don’t know her!)
What’s your favorite basic calc problem type?
“If g(x) is always negative and concave down show that h(x)=[g(x)]^4 is always concave up.”
Not too many numbers, some chances to use the core rules and some relaxing logical reasoning. This is also my brother’s *least* favorite kind of problem “because it’s not about anything” — he wants those boring questions about cars accelerating and such. (why do I care if Jane gets a ticket? I don’t know her!)
What’s your favorite basic calc problem type?