Articles containing proofs | Theorems in analysis | Theorems in calculus | Differentiation rules

Reciprocal rule

In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents. Also, one can readily deduce the quotient rule from the reciprocal rule and the product rule. The reciprocal rule states that if f is differentiable at a point x and f(x) ≠ 0 then g(x) = 1/f(x) is also differentiable at x and (Wikipedia).

Video thumbnail

Applying the reciprocal rule with negative exponents to simplify an expression

👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p

From playlist Simplify Using the Rules of Exponents

Video thumbnail

Reciprocal Rule Examples (2 Minutes)

Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithe

From playlist 2 Minute Calc

Video thumbnail

Using the reciprocal of a fraction to rewrite an expression with a positive power

👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p

From playlist Simplify Using the Rules of Exponents

Video thumbnail

Writing the reciprocal of a fraction to write an expression with a positive power

👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p

From playlist Simplify Using the Rules of Exponents

Video thumbnail

Reciprocal graphs 1

Powered by https://www.numerise.com/ Reciprocal graphs 1

From playlist Important graphs

Video thumbnail

Reciprocals (Limit Example 7)

Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by doing an example with reciprocals. More precisely, I show that if a nonzero sequence sn goes to s (with s nonzero), then the 1/sn goes to 1/s. From this, we can easily derive the quotient law

From playlist Sequences

Video thumbnail

Algebra 1 2.08b - Using Reciprocals

From the Algebra 1 course by Derek Owens. Distance learning courses for homeschool students (and others) are available at http://www.derekowens.com

From playlist Algebra 1 Chapter 2 (Selected Videos)

Video thumbnail

Reciprocal rule (KristaKingMath)

► My Derivatives course: https://www.kristakingmath.com/derivatives-course Learn how to use reciprocal rule to calculate the derivative of a function. In order to understand the formula, we'll derive it from the quotient rule formula, then use the reciprocal rule formula to find the deriv

From playlist Calculus I

Video thumbnail

Reciprocal Rule Example #2 (2 Minutes)

Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithem

From playlist 2 Minute Calc

Video thumbnail

Reciprocal Rule (2 Minutes)

Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithem

From playlist 2 Minute Calc

Video thumbnail

Master Simplifying expressions with negative exponents

Subscribe! http://www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students but allow teachers the resources to flip their classro

From playlist Rules of Exponents #Master

Video thumbnail

Triple product rule | Lecture 15 | Vector Calculus for Engineers

Derivation of the reciprocity relation and the triple product rule. The reciprocity relation is sometimes called the reciprocal theorem, and the triple product rule is sometimes called the reciprocity theorem. The triple product rule is also sometimes called the cyclic chain rule, cyclic

From playlist Vector Calculus for Engineers

Video thumbnail

Basic slide rule theory and use (Part 2): CI scale

The second of a series of videos explaining the basic slide rule. This video explains the CI scale and its basic uses. Basic slide rule playlist: https://www.youtube.com/playlist?list=PL_qcL_RF-ZyvJYtIr9NRXJX958d6BgdbN All my slide rule videos: https://www.youtube.com/playlist?list=PL_q

From playlist Basic slide rule theory and use

Video thumbnail

Easy steps to label and draw crystal planes with Miller Indices

Tutorial example solutions for labeling and drawing crystal planes with Miller Indices. In addition, we show why you can select any origin or convert planes to smallest integers using crystal diagram software VESTA

From playlist MSE example problems tutorial

Related pages

Calculus | Differential algebra | Differentiable function | Quotient rule | Product rule | Power rule | Continuous function | Multiplicative inverse