Differentiation formulas, Mathematics

Assignment Help:

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation & "fraction" notation.

Properties

1)   (f ( x) ± g ( x ))′ ) = f ′ ( x ) ±  g ′ ( x )   OR  d ( f (x ) ± g ( x )) = df/dx ± dg/ dx

In other terms, to differentiate a sum or difference all we have to do is differentiate the individual terms & then put them back together with the suitable signs.  Note that this property is not limited to two functions.

2)   (cf ( x ))′ = cf ′ ( x )     OR   d (cf ( x ))/dx = c df/dx , c is any number

In other terms, we can "factor" a multiplicative constant out of derivative if we have to.

Note as well that we have not involved formulas for the derivative of products or quotients of two functions here. The derivative of product or quotient of two of functions is not the product or quotient of the derivatives of individual pieces

 


Related Discussions:- Differentiation formulas

Reduced Row-Echelon Form, The augmented matrix from a system of linear equa...

The augmented matrix from a system of linear equations has the following  reduced row-echelon form (a)  How many equations are there in the system?  (b)  How many variab

Write the equation of a circle, Example    Write down the equation of a cir...

Example    Write down the equation of a circle  alongwith radius 8 & center ( -4, 7 ) . Solution Okay, in this case we have r =8 , h = -4 and k = 7 thus all we have to do i

Maxima and minima, Maxima and Minima We have to make a distinctio...

Maxima and Minima We have to make a distinction between relative maxima (or minima) and global maxima (or minima). Let f(x) be a function of x. Then the global maxi

Simple derivatives, Simple derivatives Example   Differentiate followin...

Simple derivatives Example   Differentiate following.  (5x 3   - 7 x + 1) 5 ,[ f ( x )] 5 ,[ y ( x )] 5 Solution: Here , with the first function we're being asked to

Naming fractions greater than 1, the 10 miles assigned to the chess club st...

the 10 miles assigned to the chess club start at the 10 mile point and go to the 20 mile point when the chess club members have cleaned 5/8 of their 10 mile section between which m

Dividing fractions by fractions with drawing.., how do I divide a fraction ...

how do I divide a fraction by a fraction by drawing a picture

How many cubic yards of concrete are required, A concrete retaining wall is...

A concrete retaining wall is 120 feet long with ends shaped as given. How many cubic yards of concrete are required to construct the wall? a. 217.8 yd 3 b. 5,880 yd 3

Problem solving for andre, Problem solving for andre A can of powdered ...

Problem solving for andre A can of powdered milk and a can of evaporated milk cost Php 83.90 together. Two cans of evaporated milk and a can of powdered milk cost Php 118.05

Find the number., There is a number. If the sum of digits is 14, and if 29 ...

There is a number. If the sum of digits is 14, and if 29 is subtracted from the number, the digits become equal. Find the number.

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