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

Laplace transforms, In this section we will be searching how to utilize Lap...

In this section we will be searching how to utilize Laplace transforms to solve differential equations. There are various types of transforms out there into the world. Laplace tran

Compute the quartile coefficient of skewness, By using the above data compu...

By using the above data compute the quartile coefficient of skewness Quartile coefficient of skewness = (Q3 + Q1 - 2Q2)/(Q3 + Q1)                                The positio

The distributive law, The Distributive Law :  If you were asked to mentall...

The Distributive Law :  If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

Parallel and perpendicular lines, The last topic that we have to discuss in...

The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines. Suppose that th

Evaluate the measure of the larger angle, Two angles are complementary. The...

Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°

Reason why we start division, Reasons why we start division : The reason w...

Reasons why we start division : The reason we start division by considering the digit in the leftmost place is efficiency and ease . For instance, suppose we divide 417 by 3, we

Theory of sets, finite or infinite 1]A={4,5,6,....}

finite or infinite 1]A={4,5,6,....}

Negative number, what should added to the sum of (-26) and 31 to m...

what should added to the sum of (-26) and 31 to make it equal to the sum of (-35) and (-11) question #Minimum 100 words accepted#

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