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

Determine centigrade equivalent for a temperature, 1. 10 -2 is equal to ...

1. 10 -2 is equal to 2. If 3n = 27, what is the value of (4n) + 1 3. What is 1/100 of 10000? 4. The formula C=5/9 x (F-32) converts Centigrade temperature from Fa

Determine the taylor series, Example : Determine the Taylor series for f(x)...

Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin

Unit circle, Unit circle: The unit circle is one of the most valuable tool...

Unit circle: The unit circle is one of the most valuable tools to come out in trig.  Unluckily, most people don't study it as well. Below is the unit circle with just the first

Circles, examples of construction of excircles

examples of construction of excircles

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Solid mensuration, what is the importance of solid mensuration?

what is the importance of solid mensuration?

Shares and dividend, A man buys rs50 shares of a company paying 12% of divi...

A man buys rs50 shares of a company paying 12% of dividendat premium ofof rs10 find market value of 320 shares and profit%

Need answer urgently, using a pair of compasses a ruler and a pencil. const...

using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using

Hello, I am here to tell you, Alex has a cold.

I am here to tell you, Alex has a cold.

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