Another Derivate


by ladyrae
Tags: derivate
ladyrae
ladyrae is offline
#1
Jun12-04, 03:33 PM
P: 33
Thanks for your help....

How about this one?

Using the definition of derivate find f ` (x)

f(x) = x/(2x-1)

f ` (x) = lim h->0 [(f(x+h)) (f(x))]/h

lim h->0 ([((x+h) / (2x+2h-1))-(x/(2x-1))]/h) . [((2x+2h-1)(2x-1)) / ((2x+2h-1)(2x-1))]

lim h->0 [(2x^2)-x+(2xh)-h-(2x^2)-(2hx)+x]/(h(2x+2h-1)(2x-1))

lim h->0 -h/(h(2x+2h-1)(2x-1)) = -1/(2x-1)^2
Phys.Org News Partner Science news on Phys.org
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance
arildno
arildno is offline
#2
Jun12-04, 03:37 PM
Sci Advisor
HW Helper
PF Gold
P: 12,016
If f(x)=x/(2x-1), then it is correct.
ladyrae
ladyrae is offline
#3
Jun12-04, 03:42 PM
P: 33
yes...thanks

arildno
arildno is offline
#4
Jun12-04, 03:48 PM
Sci Advisor
HW Helper
PF Gold
P: 12,016

Another Derivate


just a suggestion, ladyrae:
if you have more questions on this, don't open any new thread, continue to use this instead.
In addition, try to learn LATEX formatting, it's not very difficult..


Register to reply

Related Discussions
Prooving derivate of x^n Calculus 8
Derivate question Calculus & Beyond Homework 2
Derivate of geometrical product Introductory Physics Homework 4
Derivate of x^p Calculus 1
Derivate of Factorial Calculus 3