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

Explain identifying conic sections, Explain Identifying Conic Sections ...

Explain Identifying Conic Sections The graph of a quadratic equation in the variables x and y, like this one, x 2 + 3y 2 + 6y = -4, is a conic sections. There are three kind

Binomial theorem, use the expansion of (1-x)^7 to find the value of 1.998^7...

use the expansion of (1-x)^7 to find the value of 1.998^7 correct to five significant figures

Proof of the derivative of a constant, Proof of the Derivative of a Constan...

Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti

Holistic marketing , Necessity of holistic marketing or importance of holis...

Necessity of holistic marketing or importance of holistic marketing

5th grade, 6 and 3/8 minus 1 and 3/4

6 and 3/8 minus 1 and 3/4

Find the length of the parallelogram, The perimeter of a parallelogram is 5...

The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram. Let w = the width of the parallelo

Limit properties, Limit Properties :  The time has almost come for us t...

Limit Properties :  The time has almost come for us to in fact compute some limits.  Though, before we do that we will require some properties of limits which will make our lif

Adding & subtracting i guess, Jack and his mother paid $11.50 for tickets t...

Jack and his mother paid $11.50 for tickets to the movies, and adults tickets cost $4.50 more than a child ticket what was the cost of each ticket?

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