### Video Transcript

two numbers whose product? Just 100 pretty straightforward x times wise 100 and then acts plus y on them together gives us our minimum. Right? Okay, No, we know that we can write this as acts equals 100. Divided by why, Right? Because we're taking this first equation over here writing this simply in terms of X. Now we know writing this in terms of a singular variable 100 over Why Post, why is our minimum take? The derivative derivative of Y is simply one said equal to zero because we know the minimum value would be like the constant we end up with. Why is ton therefore X is also 10 times 10 times 10 is 100.

You are watching: Find two numbers whose difference is 100 and whose product is a minimum.     See more: Does Bromfed Dm Syrup Have Codeine, And Pseudoephedrine, Brompheniramine, Codeine, And Pseudoephedrine

Precalculus Review - Intro

In mathematics, precalculus is the study of functions (as opposed to calculus, which is the study of change, and algebra, which is the study of operations and their application to solving equations). It is generally considered to be a part of mathematics that prepares students for calculus.

Functions on the Real Line - Overview

In mathematics, a function (or map) f from a set X to a set Y is a rule which assigns to each element x of X a unique element y of Y, the value of f at x, such that the following conditions are met: 1) For every x in X there is exactly one y in Y, the value of f at x; 2) If x and y are in X, then f(x) = y; 3) If x and y are in X, then f(x) = f(y) implies x = y; 4) For every x in X, there exists a y in Y such that f(x) = y.