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

Integers , (-85) from (-21) and explain me

(-85) from (-21) and explain me

Find third order partial derivatives, Question: Find all third order pa...

Question: Find all third order partial derivatives for the function   F(x,y)= log xy+ e (x+y) -x/y.

Linear equations in one variable, three prices are to be distributed in a q...

three prices are to be distributed in a quiz contest.The value of the second prize is five sixths the value of the first prize and the value of the third prize is fourfifth that of

Calculate the profit the bank earn each treasury bond, Financial institutio...

Financial institutions often create synthetic instruments out of existing instruments.  In this case an investment bank plans to buy Treasury Bonds with 20-year maturities at their

Distribution of sample means not normal, The distribution of sample means i...

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

Determine rational exponents, Evaluate following. (a) 625 3/4 Solut...

Evaluate following. (a) 625 3/4 Solution  (a) 625 3/4 Again, let's employ both forms to calculate this one.             625 3/4   =( 625 1/4 ) 3 =(5) 3   = 12

Interpretation of r – problems in interpreting r values, Interpretation of ...

Interpretation of r - Problems in interpreting r values A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that th

Division problem, Raul has 56 bouncy balls. He puts three times as many bal...

Raul has 56 bouncy balls. He puts three times as many balls into red gift bags as he puts into green gift bags. If he puts the same number of balls in each bag, how many balls does

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