Basic computation formulas of differentiation, Mathematics

Assignment Help:

Basic "computation" formulas : Next, let's take a quick look at some basic "computation" formulas that will let us to actually compute some derivatives.

Formulas

1)   If f ( x ) = c then f ′ ( x ) = 0         Or        d (c )/ dx = 0

The derivative of a constant is zero.

2)   If f ( x ) = xn  then f ′ ( x ) = nxn -1  OR    d ( xn ) = nxn -1 , n is any number.

Sometimes this formula is called the power rule.  Here all we are doing is bringing the original exponent down in front & multiplying and then subtracting one from the original exponent.

Note that to use this formula n has to be a number, it can't be a variable. Also note that the base, the x, has to be a variable, it can't be a number. 

These are the only properties & formulas which we'll give in this section.  Let's calculate some derivatives using these properties.

 


Related Discussions:- Basic computation formulas of differentiation

Calculate zeros in the denominator of rational expressions, About Zeros in ...

About Zeros in the Denominator of Rational Expressions One thing that you must be careful about when working with rational expressions is that the denominator can never be zero

Create a circular table with no restrictions, 1. Four different written dri...

1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 m

The point which divides a gven line - segment externally, The point which d...

The point which divides a gven line - segment externally: Construction : i )Draw BX making an actue angle at B. ii) Starting from B mark three equal points on BX as sh

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

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

Percentage profit and loss, #a grocer buys a box of 200oranges for $25 he s...

#a grocer buys a box of 200oranges for $25 he sells them for 15c caluclate his percentage profit

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