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

Geometry, how to do mathematical proofs

how to do mathematical proofs

Evaluate following. 0ln (1+)excos(1-ex)dx substitution, Evaluate following....

Evaluate following. ∫ 0 ln (1 + π )   e x cos(1-e x )dx Solution The limits are little unusual in this case, however that will happen sometimes therefore don't get

Find out the greater of two consecutive positive is 143, Find out the great...

Find out the greater of two consecutive positive odd integers whose product is 143. Let x = the lesser odd integer and let x + 2 = the greater odd integer. Because product is a

Puzzle, 0+50x1-60-60x0+10

0+50x1-60-60x0+10

Relationship between the graph and inverse function, Interesting relationsh...

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  Ther

Velocity of derivation, Velocity : Recall that it can be thought of as sp...

Velocity : Recall that it can be thought of as special case of the rate of change interpretation. If the situation of an object is specified by f(t ) after t units of time the vel

Math probles, Belleville lake was originally blue because it only had 11 al...

Belleville lake was originally blue because it only had 11 algae plants. then towns and farms cropped up by the lake .this cause 446 more algae plants to grow which turned the lake

Two consecutive integers is 15 find out the larger integer, If the differen...

If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,

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