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

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Comparison test for improper integrals - integration, Comparison Test for I...

Comparison Test for Improper Integrals Here now that we've seen how to actually calculate improper integrals we should to address one more topic about them.  Frequently we ar

Math, what is quantity ?

what is quantity ?

Logarithm, The function A(t) = 5(0.7)^t was used to define the amount A in ...

The function A(t) = 5(0.7)^t was used to define the amount A in milliliters of a drug in the bloodstream t hours after the drug was ingested. Determine algebraically the time it wi

Linear algebra, i have question like proof, can you please help me on it?

i have question like proof, can you please help me on it?

Variation of parameters, In the previous section we looked at the method of...

In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t)    .....................

Solving algebraic word problems, Solving Algebraic Word Problems: What...

Solving Algebraic Word Problems: What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Bricklayer estimates 6.5 how many bricks will he required, A bricklayer est...

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

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