Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

157,629 users

Math help? show your work?

0 votes
For the function f(x)= 1/6x, construct and simplify the difference quotient f(x+h) - f(x)/h
asked Sep 10, 2014 in CALCULUS by anonymous

1 Answer

0 votes

The difference quotient = [f(x + h) - f(x)]/h

The function f(x) =1/6x

f(x + h) = 1/6(x + h) = 1/(6x + 6h)

f(x + h) - f(x) = 1/(6x + 6h) - 1/(6x)

                    = [ 6x - (6x + 6h) ]/[(6x + 6h)6x]

                    = [ 6x - 6x - 6h]/[(6x + 6h)6x]

                    = - 6h/ (36x2 + 36hx)

                    = - 6h/ 6(6x2 + 6hx)

                    = - h/(6x2 + 6hx)

The difference quotient = [- h/(6x2 + 6hx)]/h

                                    = -1/(6x2 + 6hx).

answered Sep 10, 2014 by david Expert
edited Sep 10, 2014 by david

Related questions

...