# Concavity, derivations, and proofs

Not what you're looking for? Search our solutions OR ask your own Custom question.

Please see attachment

All the questions

Determine whether....converge or diverge

...derive a necessary condition for the equation...to have a rational root. Then use this condition to prove...

Using binomial coefficients, derive a formula for the nth derivative of the product of two functions.

Suppose that f(x) has a continuous first derivative for all x in R. Prove that f(x) is concave if and only if....

Â© BrainMass Inc. brainmass.com December 15, 2022, 7:47 pm ad1c9bdddfhttps://brainmass.com/math/derivatives/concavity-derivations-and-proofs-249402

#### Solution Summary

This contains four parts: determining whether given series converge or diverge, deriving a condition for an equation to have a rational root and using that condition in a proof, deriving a formula for the nth derivative of the product of two functions, and a set of three proofs regarding concavity.

$2.49