Aramaic Bible when you look at the Plain English A wise woman builds property therefore the stupid woman ruins it together with her give

Contemporary English Variation A great female’s friends was kept along with her by the woman insights, but it would be forgotten by the the lady foolishness.

Douay-Rheims Bible A smart woman buildeth this lady household: however the foolish commonly pull-down with her give which also that is situated.

Around the globe Fundamental Version Every smart girl builds the girl home, nevertheless the stupid that tears it down together with her individual give.

The latest Modified Simple Variation The fresh new wise woman makes the girl domestic, nevertheless the stupid rips they down together individual hand.

Brand new Heart English Bible Every wise lady creates her home, however the dumb that rips it off with her individual hand.

World English Bible All of the smart girl creates the woman home, however the foolish that tears they down with her own hands

Ruth cuatro:eleven «Our company is witnesses,» told you the new elders and all individuals on entrance. «Can get god improve lady typing your house such as for example Rachel and you may Leah, which along with her collected our home of Israel. ous in Bethlehem.

Proverbs A dumb man ‘s the calamity out of their father: and also the contentions of a girlfriend are a continual dropping.

Proverbs 21:nine,19 It’s best so you’re able to dwell from inside the a large part of your housetop, than simply that have an excellent brawling woman into the a broad domestic…

Definition of a horizontal asymptote: The line y = y₀ is a «horizontal asymptote» of f(x) if and only if f(x) approaches y₀ as x approaches + or — .

Definition of a vertical asymptote: The line x = x₀ is a «vertical asymptote» of f(x) if and only if f(x) approaches + or — as x approaches x₀ from the left or from the right.

Definition of a slant asymptote: the line y = ax + b is a «slant asymptote» of f(x) if and only if lim _{(x—>+/- )} f(x) = ax + b.

Definition of a concave up curve: f(x) is «concave up» at x₀ if and only if is increasing at x₀

Definition of a concave down curve: f(x) is «concave down» at x₀ if and only if is decreasing at x₀

The second derivative test: If f exists at x₀ and is positive,

then voulez examen Dog site de rencontres is concave up at x₀. If f exists and is negative, then f(x) is concave down at x₀. If does not exist or is zero, then the test fails.

Definition of a local maxima: A function f(x) has a local maximum at x₀ if and only if there exists some interval I containing x₀ such that f(x₀) >= f(x) for all x in I.

The first derivative decide to try to possess regional extrema: In the event that f(x) is broadening ( > 0) for all x in certain period (a, x

Definition of a local minima: A function f(x) has a local minimum at x₀ if and only if there exists some interval I containing x₀ such that f(x₀) <= f(x) for all x in I.

Density off local extrema: All the regional extrema exists from the critical things, yet not most of the important factors are present during the local extrema.

₀] and f(x) is decreasing ( < 0) for all x in some interval [x₀, b), then f(x) has a local maximum at x₀. If f(x) is decreasing ( < 0) for all x in some interval (a, x₀] and f(x) is increasing ( > 0) for all x in some interval [x₀, b), then f(x) has a local minimum at x₀.

The second derivative test for local extrema: If = 0 and > 0, then f(x) has a local minimum at x₀. If = 0 and < 0, then f(x) has a local maximum at x₀.

Definition of absolute maxima: y₀ is the «absolute maximum» of f(x) on I if and only if y₀ >= f(x) for all x on I.

Definition of absolute minima: y₀ is the «absolute minimum» of f(x) on I if and only if y₀ <= f(x) for all x on I.

The extreme worthy of theorem: If the f(x) are carried on from inside the a sealed period We, up coming f(x) keeps one natural maximum and something natural minimal inside We.

Thickness regarding sheer maxima: In the event the f(x) try carried on during the a sealed interval We, then the sheer restrict away from f(x) in the We is the restrict property value f(x) to the the local maxima and you can endpoints to your I.

Density away from sheer minima: If the f(x) was carried on in the a shut period I, then the natural the least f(x) into the I is the lowest worth of f(x) on the all local minima and you can endpoints with the I.

Alternate types of wanting extrema: If f(x) is actually carried on into the a close period We, then your pure extrema off f(x) in I exist at the crucial affairs and you will/otherwise from the endpoints away from We. (It is a shorter particular type of these.)