Proof of constant times a function, Mathematics

Assignment Help:

Proof of Constant Times a Function: (cf(x))′ = cf ′(x)

It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. Now there is the work for this property.

(cf(x))′ = limh→0 (cf(x + h) - cf(x))/h

= c limh→0 (f(x + h) - f(x))/h

= cf'(x)

 


Related Discussions:- Proof of constant times a function

Work in volume problems, Work : It is the last application of integr...

Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a forc

Triple integrals, Consider a circular disc of radius 1 and thickness 1 whic...

Consider a circular disc of radius 1 and thickness 1 which has a uniform density 10 ?(x, y, z) = 1. (a) Find the moment of inertia of this disc about its central axis (that is, the

Describe graphing equations with a positive slope, Describe Graphing Equati...

Describe Graphing Equations with a Positive Slope? There are 3 steps to graphing a linear equation: 1. Identify and plot the y-intercept. 2. Determine the slope. Use the slope

Math, a business is owned by three people.the first owns 1/12 of the busine...

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person

What was the planes average speed, A ?ight from Pittsburgh to Los Angeles t...

A ?ight from Pittsburgh to Los Angeles took 5 hours and covered 3,060 miles. What was the plane's average speed? Find out the rate at that Susan is traveling through dividing h

Application of linear function, four times an unknown number is equal to tw...

four times an unknown number is equal to twice the sum of five and that unknown number

Metric and costamary, can you please help me with this topic that im on in ...

can you please help me with this topic that im on in classand I just don''t get it and can u help me with dividing fractions adding mutply subtract add

Fraction, maria has a slice of pizza that is 1/6 of the pizaa.Ben has a sli...

maria has a slice of pizza that is 1/6 of the pizaa.Ben has a slice of pizza that is 1/3 of the pizza, marias slice is bigger.draw pizzas to show how this is possible.

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