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

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Proof of the derivative of a constant, Proof of the Derivative of a Constan...

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 definiti

Systems of equations revisited, Systems of Equations Revisited We requ...

Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

Absolute value, Consider x € R. Then the magnitude of x is known as it's...

Consider x € R. Then the magnitude of x is known as it's absolute value and in general, shown by |x| and is explained as Since the symbol   always shows the nonnegative

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

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