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

Draw tangent graph y = sec ( x ), G raph y = sec ( x ) Solution: As wi...

G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

Actual implicit solution, y 2 = t 2 - 3 is the actual implicit solution t...

y 2 = t 2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You w

Projects, maths projects for class 11

maths projects for class 11

Equivalent fractions, what is 6/36 as two equivalent fractions 2/12 as tw...

what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20

Explain the counting principle in maths, Explain the Counting Principle in ...

Explain the Counting Principle in maths? The fundamental counting principle is used when you want to calculate the total number of possible outcomes (or combinations) of an exp

Find out the x-y coordinates of the points - tangents, Find out the x-y coo...

Find out the x-y coordinates of the points in which the following parametric equations will have horizontal or vertical tangents. x = t 3 - 3t        y = 3t 2 - 9 Solut

Divide by 1-digit numbers, which experession can be used to check the quoti...

which experession can be used to check the quotient 646 divided by 3

Probability, I have a question that hurts my head to work out. It is really...

I have a question that hurts my head to work out. It is really confusing for me. It sais " By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes.

Number theory, formula for non negative solutions integral

formula for non negative solutions integral

Student, Patio measures 24 meters square. Patio stone are 30 cm each side. ...

Patio measures 24 meters square. Patio stone are 30 cm each side. How many stones are required to cover the patio?

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