Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
bigcat
Group Title
find the derivative of f(x)=x^2 + x 3 using the definition of the derivative
 2 years ago
 2 years ago
bigcat Group Title
find the derivative of f(x)=x^2 + x 3 using the definition of the derivative
 2 years ago
 2 years ago

This Question is Closed

Callisto Group TitleBest ResponseYou've already chosen the best response.3
\[f'(x)\]\[=\lim_{h \rightarrow 0}\frac{f(x+h)  f(x)}{h}\]\[=\lim_{h \rightarrow 0}\frac{[(x+h)^2 + (x+h) 3] (x^2 + x 3)}{h}\]Can you simplify the fraction first?
 2 years ago

bigcat Group TitleBest ResponseYou've already chosen the best response.0
I used x^2 + 2(x)(h) + h^2 + x +h 3 x^2 x +3 = 2x + x ??
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
x^2 + 2(x)(h) + h^2 + x +h 3 x^2 x +3 < correct for denominator. But it's not equal to 2x + x... \[x^2 + 2(x)(h) + h^2 + x +h 3 x^2 x +3\]Group the like terms together: \[x^2 x^2 + x x 3 +3+ h^2+ 2(x)(h)+h\] Now, can you simplify the above expression
 2 years ago

bigcat Group TitleBest ResponseYou've already chosen the best response.0
basically factor out the h and H(h+2x+1) divided by the h on denominator and = h + 2x + 1?
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
And you got: \[\lim_{h \rightarrow 0} (h+2x+1)\]Can you evaluate the limit?
 2 years ago

bigcat Group TitleBest ResponseYou've already chosen the best response.0
Would be 2x + 1 ??? Because h is going to 0
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
Indeed it is!
 2 years ago

bigcat Group TitleBest ResponseYou've already chosen the best response.0
Holy Cow! It came together finally!! Thank you very much for your help! I would have been stuck!!!
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
You're welcome :)
 2 years ago

bigcat Group TitleBest ResponseYou've already chosen the best response.0
Have a great day!!
 2 years ago

Callisto Group TitleBest ResponseYou've already chosen the best response.3
You too! :)
 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.