Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
darkmare
Group Title
f(x) = 2x^2+4x for x <0 and 8x^23 for x greater or equal to zero
what would the difference quotient's be for lim x>0 and lim x> 0+?
 2 years ago
 2 years ago
darkmare Group Title
f(x) = 2x^2+4x for x <0 and 8x^23 for x greater or equal to zero what would the difference quotient's be for lim x>0 and lim x> 0+?
 2 years ago
 2 years ago

This Question is Closed

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
Function is defined as: \[f(x)=2x^2+4x, for\ x<0\] \[f(x)=8x^23. for\ x\ge 0\] for limit 0, f(x) defined for x<0 \[\large \lim_{x \to 0^{}} (2x^2+4x)\] for limit 0+, f(x) defined for \(x\ge 0\) \[\large \lim_{x \to 0^{+}} (8x^23)\]
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
@darkmare do you get this?
 2 years ago

darkmare Group TitleBest ResponseYou've already chosen the best response.0
yes I understand that for the limit of each one that those are used but the questions asks the lim of those values for f prime (0) so those are not the answers they are looking for apparently
 2 years ago

suneja Group TitleBest ResponseYou've already chosen the best response.0
f(x)=−2x2+4x,for x<0 f(x)=8x2−3.for x≥0 for limit 0, f(x) defined for x<0 lim x→0−(−2x2+4x)= 0 for limit 0+, f(x) defined for x≥0 lim x→0+(8x2−3)=3
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
\[\large f'(x)=\lim_{h \to 0^}\frac{f(xh)f(0)}{xhx}\] to evaluate f'(0), from left hand side ( or to check differentiability) put x=0 in this \[\large f'(x)=\lim_{h \to 0^}\frac{2(xh)^2+4(xh)(2x^2+4x)}{xhx}\] now put x=0 in this, for 0+, use f(x)=8x^23
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
do you get it ? @darkmare
 2 years ago

darkmare Group TitleBest ResponseYou've already chosen the best response.0
yes I do understand that, it is still not accepting it as an answer so I will have to look into it further, perhaps simplify further
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
yeah, you have to simplify it further.
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.