Ask your own question, for FREE!
Mathematics
OpenStudy (anonymous):

from the definition of the derivative of a function find f'(x) if y=f(x)=x^2+2

OpenStudy (anonymous):

The definition is: \[\lim_{ \lambda \rightarrow 0}\frac{f(x)-f(x+ \lambda)}{\lambda}\] So you would have: \[\lim_{\lambda \rightarrow 0}\frac{x^2+2-((x+\lambda)^2+2)}{\lambda}\] Foil it out and you should come to the conclusion (after taking the limit) that: f'(x)=2x

OpenStudy (anonymous):

so basically ((x+h)^2+2-(x^2+2))/h then simplify from there. thanks!

OpenStudy (anonymous):

Yup :D

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
441204: https://youtu.be/_VH-n_Efdxo new song out premiered jus now
45 minutes ago 5 Replies 1 Medal
Kevieeeee: Good Morning guys hru?
3 hours ago 0 Replies 0 Medals
Kevieeeee: Rate this cute bunny i edited
9 hours ago 27 Replies 2 Medals
karremat: i need help asap pllllssss
15 hours ago 4 Replies 0 Medals
snowflake0531: healp
13 hours ago 4 Replies 4 Medals
Astrid1: Time to leak pictures if it'll let me
3 hours ago 72 Replies 7 Medals
karremat: i have a question
13 hours ago 71 Replies 2 Medals
D4nniii: how do i work this out
1 day ago 5 Replies 7 Medals
victoriag: question in the comments
1 day ago 5 Replies 5 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!