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

Method of cylinders or method of shells, Method of cylinders or method of s...

Method of cylinders or method of shells The formula for the area in all of the cases will be,                                                        A = 2 ∏ ( radius ) (heig

Parent, Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbl...

Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbles as Sam?

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Find out the volume of the solid- method of rings, Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 2x and  y = x about the line y = 4 . Solution: Firstly let's get the bounding region & t

Regression coefficient, 4x+3y+7=0 and 3x+4y+8=0 find the regression coeffic...

4x+3y+7=0 and 3x+4y+8=0 find the regression coefficient between bxy and byx.

Explain how to distribute simplifying expressions, Explain How to Distribut...

Explain How to Distribute simplifying expressions? The distributive law states that for all numbers a, b, and c, a(b + c)= ab + ac What does this mean in plain language?

rules for solving linear in-equations - linear algebra, Explain what are t...

Explain what are the Rules for solving linear in-equations?

Evaluate limit, Evaluate the given limit. Solution: In this quest...

Evaluate the given limit. Solution: In this question none of the earlier examples can help us. There's no factoring or simplifying to accomplish.  We can't rationalize &

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