Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Using the First Derivative Test, find any local extema for f(x)= x^2+25/x
 one year ago
 one year ago
Using the First Derivative Test, find any local extema for f(x)= x^2+25/x
 one year ago
 one year ago

This Question is Open

richywBest ResponseYou've already chosen the best response.2
well take the first derivative\[f'(x)=2x\frac{25}{x^2}\]set this equal to zero to find extrema. \[2x=\frac{25}{x^2}\]\[2x^3=25\]\[x^3=\frac{25}{2}\]\[x=\sqrt[3]{\frac{25}{2}}\]\[x=\frac{5^{2}{3}}{\sqrt[3]{2}}\]
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
im not sure about you last line @richyw , once you have found x , substitute back into f to find f(x) and hence ( x , f(x) )
 one year ago

richywBest ResponseYou've already chosen the best response.2
right, sorrt that was a typo. should be \(5^{3/2}\) if I recall correctly...
 one year ago

richywBest ResponseYou've already chosen the best response.2
I hope they caught that because I would never leave 75 written as \(5^23\) haha
 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.