Differentiation formulas, Mathematics

Assignment Help:

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation & "fraction" notation.

Properties

1)   (f ( x) ± g ( x ))′ ) = f ′ ( x ) ±  g ′ ( x )   OR  d ( f (x ) ± g ( x )) = df/dx ± dg/ dx

In other terms, to differentiate a sum or difference all we have to do is differentiate the individual terms & then put them back together with the suitable signs.  Note that this property is not limited to two functions.

2)   (cf ( x ))′ = cf ′ ( x )     OR   d (cf ( x ))/dx = c df/dx , c is any number

In other terms, we can "factor" a multiplicative constant out of derivative if we have to.

Note as well that we have not involved formulas for the derivative of products or quotients of two functions here. The derivative of product or quotient of two of functions is not the product or quotient of the derivatives of individual pieces

 


Related Discussions:- Differentiation formulas

Geomartry, how to find volume of a cone in cubic units when the radius is 5...

how to find volume of a cone in cubic units when the radius is 5 and height is 11

How are Indian customers visiting Shoppers’ Stop any differe, How are India...

How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries?

Dividing whole numbers, Dividing Whole Numbers: Example: Divide 3...

Dividing Whole Numbers: Example: Divide 347 by 5. Solution:                      Beginning from the left of the dividend, the divisor is divided into the

Calculate the amount of money a person has left after death, When Ms. Jones...

When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan.  She then invested this sum in an annuity account that would pay her an equal amount at the end

Explain basic geometric concepts, Explain Basic Geometric Concepts ? P...

Explain Basic Geometric Concepts ? Points, lines, and planes are the most fundamental concepts in the study of geometry. Points A point has no length, width or heig

Geometric , a part of a line with two end points.

a part of a line with two end points.

Systems of equations revisited, Systems of Equations Revisited We requ...

Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......

My homework, Paulina played 3 soccer games on Saturday she drank I juice bo...

Paulina played 3 soccer games on Saturday she drank I juice box during each soccer game how many juice boxes did she drank

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd