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

People fit, How many people ca fi in a small cars without seats?

How many people ca fi in a small cars without seats?

Integers, need answer to integers that equal 36

need answer to integers that equal 36

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01, Ask question #Min 4.4238/[1.047+{...

Ask question #Min 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

What decimal is represented by point a on the number line, What decimal is ...

What decimal is represented by point A on the number line? The hash marks indicate units of 0.01 between 0.75 and 0.80. Point A is 0.77. See the ?gure below.

QM II, A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. T...

A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. THIS MONTH, THEY HAD 178 BAGS OF SALINE IN STOCK AND ORDERED 1,277 BAGS. DEMAND FOR SALINE IS NORMALLY DISTRIBUTE

Surds and logarithms, what are these all about and could i have some exampl...

what are these all about and could i have some examples of them please

Find the time it takes to slide down, The time in seconds that it takes for...

The time in seconds that it takes for a sled to slide down a hillside inclined at and angle θ is where d is the length of the slope in metres. Find the time it takes to sli

Thinking mathematically-why learn mathematics, THINKING MATHEMATICALLY :  ...

THINKING MATHEMATICALLY :  Have you ever thought of what mental processes you are going through when you are solving a mathematical problem? Why don't you try the following proble

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

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