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

Using euclid''s algorithm find the value of x & y, If d is the HCF of 30, 7...

If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans:    Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12

Pie chart, i have this data 48 degree, 72 degree, 43.2degree, 24degree , 40...

i have this data 48 degree, 72 degree, 43.2degree, 24degree , 40.8degree on this make a pie chart

Permutation, A telephone dialled is numbered 0to9. if 0is dialled first the...

A telephone dialled is numbered 0to9. if 0is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local n

Find the height of the lighthouse, Two  ships  are  sailing  in  the  sea  ...

Two  ships  are  sailing  in  the  sea  on  either  side  of  a  lighthouse;  the  angles  of depression of two ships as observed from the top of the lighthouse are 600  and 450 re

profit & loss, A sell a watch to B at gain of 20% and B sell to C at loss ...

A sell a watch to B at gain of 20% and B sell to C at loss of 10%. if C pays @ 432, how much did A pays for it.

2(sin 6+cos6) - 3(sin4+cos4)+1 = 0, 2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?...

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

How to creates factor by substitution, How to creates Factor by Substitutio...

How to creates Factor by Substitution ? Can you factor this polynomial? x 2 + 3x + 2 (For this tutorial, I'm going to assume that you know how to do some basic factorin

Prove that sinx+cosx=? , Multiply and divide by root2, then root2/root2...

Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))

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