Differentials Error Estimation
Contents |
Whole Number Place Value of Whole Numbers Rounding Whole Numbers Whole Numbers on a Number Line Comparing Whole Numbers differentials to estimate the maximum error Adding Whole Numbers Subtracting Whole Numbers Multiplying Whole Numbers Multiplication Table
Use Differentials To Estimate The Maximum Error
Dividing Whole Numbers (Long Division) Division with Remainder Integers > Negative Numbers What is Integer
Use Differentials To Estimate The Maximum Error In Volume
Number Rounding Integers Number Line with Integers Ordering and Comparing Integers Adding Integers Adding Integers on a Number Line Subtracting Integers Subtracting Integers on a Number
Use Differentials To Estimate The Propagated Error
Line Multiplying Integers Dividing Integers Exponents and Integers Factors and Multiples > Divisibility of Integers Even Numbers (Integers) Odd Numbers (Integers) Divisibility Rules What are Factors and Multiples Integer Factorization What is a Prime Number Composite Numbers How do you do Prime Factorization Greatest Common Divisor (GCD) Least Common Multiple (LCM) differentials to estimate value Fractions > What is Fraction Proper Fractions Improper Fractions Mixed Numbers/Fractions Mixed Numbers on a Number Line Equivalent Fractions Reducing Fractions Adding Fractions with Like Denominators Subtracting Fractions with Like Denominators Adding Fractions with Unlike Denominators Subtracting Fractions with Unlike Denominators Converting Mixed Numbers to Improper Fractions Converting Improper Fractions to Mixed Numbers Adding Fractions with Whole Numbers Subtracting Fractions with Whole Numbers Adding Mixed Numbers Subtracting Mixed Numbers Comparing Fractions Multiplying Fractions Multiplying Mixed Numbers Dividing Fractions by Whole Number Dividing Fractions Dividing Mixed Numbers Reciprocals Negative Exponents Rational Numbers Decimals > What is Decimal Decimals Place Value Rounding Decimals Decimal Number Line Comparing Decimals Powers of 10 Scientific Notation Decimal Fractions Converting Decimals To Fractions Converting Fractions to Decimals Adding Decimals Subtracting Decimals Multiplying Decimals Dividing Decimals by Whole Numbers Dividing Whole Numbers by Decimals Dividing Decimals Repeating (Recurring) Decimals Absolute Value Percents > What is Percent Converting Decimals to Percent
Google. Het beschrijft hoe wij gegevens gebruiken en welke opties je hebt. Je moet dit vandaag nog doen. Navigatie overslaan NLUploadenInloggenZoeken use differentials to estimate the value indicated Laden... Kies je taal. Sluiten Meer informatie View this message in English differentials percent error Je gebruikt YouTube in het Nederlands. Je kunt deze voorkeur hieronder wijzigen. Learn more You're viewing YouTube in differentials relative error Dutch. You can change this preference below. Sluiten Ja, nieuwe versie behouden Ongedaan maken Sluiten Deze video is niet beschikbaar. WeergavewachtrijWachtrijWeergavewachtrijWachtrij Alles verwijderenOntkoppelen Laden... Weergavewachtrij Wachtrij __count__/__total__ Errors Approximations http://www.emathhelp.net/notes/calculus-1/differentials/using-differentials-to-estimate-errors/ Using Differentials IMA Videos AbonnerenGeabonneerdAfmelden33.01733K Laden... Laden... Bezig... Toevoegen aan Wil je hier later nog een keer naar kijken? Log in om deze video toe te voegen aan een afspeellijst. Inloggen Delen Meer Rapporteren Wil je een melding indienen over de video? Log in om ongepaste content te melden. Inloggen Transcript Statistieken 17.226 weergaven 27 Vind je dit een leuke https://www.youtube.com/watch?v=kXkwrhdqXWg video? Log in om je mening te geven. Inloggen 28 15 Vind je dit geen leuke video? Log in om je mening te geven. Inloggen 16 Laden... Laden... Transcript Het interactieve transcript kan niet worden geladen. Laden... Laden... Beoordelingen zijn beschikbaar wanneer de video is verhuurd. Deze functie is momenteel niet beschikbaar. Probeer het later opnieuw. Gepubliceerd op 4 aug. 2012Errors & Approximation - Application of Derivative ( Use of Differentials) - There are many application of derivative concept in calculus mathematics. One of them is Errors and Approximation. We can easily solve question related to errors in physics as well as mathematics using the concept of derivative , using the concept of differentials.In this Calculus video, we use differential's concept to find the approximate error in calculating the volume of a sphere. For this we know the radius of the sphere and we know the error while calculating the radius of that sphere. Now we have to use the concept of differentials to find the approximate errors while calculating the entire volume the sphere.This video
Finite Math Everything for Finite Math & Calculus Español Note To understand this topic, you will need to be familiar with derivatives, as discussed in Chapter 3 http://www.zweigmedia.com/RealWorld/calctopic1/linearapprox.html of Calculus Applied to the Real World. If you like, you can review the topic summary material on techniques of differentiation or, for a more detailed study, the on-line tutorials on derivatives of powers, sums, and constant multipes. We start with the observation that if you zoom in to a portion of a smooth curve near a specified point, it becomes indistinguishable from the tangent line differentials to at that point. In other words: The values of the function are close to the values of the linear function whose graph is the tangent line. For this reason, the linear function whose graph is the tangent line to $y = f(x)$ at a specified point $(a, f(a))$ is called the linear approximation of $f(x)$ near $x = a.$ Q What is the formula for the differentials to estimate linear approximation? A All we need is the equation of the tangent line at a specified point $(a, f(a)).$ Since the tangent line at $(a, f(a))$ has slope $f'(a),$ we can write down its equation using the point-slope formula: $y= y_0 + m(x - x_0)$ $= f(a) + f'(a)(x - a)$ Thus, the the linear approximation to $f(x)$ near $x = a$ is given by $L(x) = f(a) + f'(a)(x - a).$ Q The above argument is based on geometry: the fact that the tangent line is close to the original graph near the point of tangency. Is there an algebriac way of seeing why this is true? A Yes. This links to an algebraic derivation of the linear approximation. Linear Approximation of $f(x)$ Near $x = a$ If $x$ is close to a, then $f(x) \approx f(a) + (x-a)f'(a).$ The right-hand side, $L(x) = f(a) + (x-a)f'(a),$ which is a linear function of $x,$ is called the linear approximation of $f(x)$ near $x = a.$ Example 1 Linear Approximation of the Square Root Let $f(x) = x^{1/2}.$ Find the linear approximation of $f$ near $x = 4$ (at the point $(4, f(4)) = (4