Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
sha0403
Group Title
differentiate y=2(x+1)^3 by definition of differentiation..
help me?
 one year ago
 one year ago
sha0403 Group Title
differentiate y=2(x+1)^3 by definition of differentiation.. help me?
 one year ago
 one year ago

This Question is Closed

privetek Group TitleBest ResponseYou've already chosen the best response.0
chain rule  derivative of outside then derivative of inside: y'=2 (3(x+1)^(31)) *1 =6(x+1)^2
 one year ago

Jusaquikie Group TitleBest ResponseYou've already chosen the best response.0
by the definition you have to use the limit as h approaches zero \[\lim_{h \rightarrow 0}\frac{ (x+h)x }{h }\]
 one year ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
yes that is a formula... but how to find the answer using the formula? seriously i don't know..
 one year ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
please help me?
 one year ago

Jusaquikie Group TitleBest ResponseYou've already chosen the best response.0
sorry i'm not sure, the way i tried didn't get me the right answer
 one year ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
oo its ok..thanks
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
Warning: I'm going to do this directly. \(y=2(x+1)^3\) \(y+\delta y=2(x+1+\delta x)^3\) Now, \(\delta y=2(x+1)^3 2(x+1+\delta x)^3 \) Note: \(x^3y^3=(xy)(x^2+y^2+xy)\) So, \(\delta y=2[(x+1(x+1+\delta x) ][(x+1)^2+(x+1+\delta x)^2+(x+1)(x+1+\delta x) \)] \(\delta y=2(\delta x)[(x+1)^2+(x+1+\delta x)^2+(x+1)(x+1+\delta x) \)] Dividing by \(\delta x\), \(\frac{\delta y}{\delta x}=2[(x+1)^2+(x+1+\delta x)^2+(x+1)(x+1+\delta x) \)] taking the limit, \( \delta x \rightarrow 0\) \[\lim_{\delta x \rightarrow 0}{\frac{\delta y}{\delta x}}=\lim_{\delta x \rightarrow 0}{2[(x+1)^2+(x+1+\delta x)^2+(x+1)(x+1+\delta x) ]}\] Thus, \[\frac{d y}{d x}=2[(x+1)^2+(x+1)^2+(x+1)(x+1) ]\] \[\frac{d y}{d x}=6(x+1)^2\] voila! Though I cannot imagine what kind of person would ask you to do this...
 one year ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
hehe my lecturer ask to do this for my assignment..btw thanks for your help..i get it now.... ;)
 one year ago

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
LOL okaaaay... You're welcome :)
 one year 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.