Proof of the derivative of a constant, Mathematics

Assignment Help:

Proof of the Derivative of a Constant: d(c)/dx = 0

It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definition of the derivative.

 f'(x) = limh→0 (f(x +h) - f(x))/h

 = limh→0 (c - c)/h

= limh→0 0 = 0

 


Related Discussions:- Proof of the derivative of a constant

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

Illustrate pythagorean theorem, Q. Illustrate Pythagorean Theorem? Ans...

Q. Illustrate Pythagorean Theorem? Ans. You have definitely seen the Pythagorean Theorem before, so a 2 + b 2 = c 2 should look familiar to you. The Pythagorean Theor

Geometric , a part of a line with two end points.

a part of a line with two end points.

Utilizes the infinite definition of the limit to prove limit, Utilizes the ...

Utilizes the definition of the limit to prove the given limit. Solution Let M > 0 be any number and we'll have to choose a δ > 0 so that, 1/ x 2   > M

What is the evaluation of angle, In a periscope, a pair of mirrors is mount...

In a periscope, a pair of mirrors is mounted parallel to each other as given. The path of light becomes a transversal. If ∠2 evaluate 50°, what is the evaluation of ∠3? a. 50°

Examples of logarithms, Examples of logarithms: log 2   8 = 3         ...

Examples of logarithms: log 2   8 = 3                                            since    8 = 2 3 log 10   0.01 = -2                                    since    0.01 = 10

Obtain the number of significant modes, On the Assessment page for the modu...

On the Assessment page for the module Moodle site you will find five frequency response functions for the frequency range 20 to 100 Hz in the EXCEL spreadsheet "FRF_Data". These a

Quick help for exam preparation, can you help me with entrance exam for uni...

can you help me with entrance exam for university ? i really need help so quick

What was brian''s total commission on these three sales, Brian is a real es...

Brian is a real estate agent. He forms a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for $153,000, $299,000, and $121,000. What was

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