A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
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+?
anonymous
 3 years ago
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+?

This Question is Closed

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0Function 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 \(x\ge 0\) \[\large \lim_{x \to 0^{+}} (8x^23)\]

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(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

ash2326
 3 years ago
Best 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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes 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

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, you have to simplify it further.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.