A community for students.
Here's the question you clicked on:
 0 viewing
MTALHAHASSAN2
 one year ago
find the point on the curve f (x)=(x^21)^2 for which the tangent line is horizontal
MTALHAHASSAN2
 one year ago
find the point on the curve f (x)=(x^21)^2 for which the tangent line is horizontal

This Question is Closed

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(f = (x^21)^2\) you learning calculus?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2so you know to differentiate f(x) and set \(f'(x) = 0\) ??

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0wait let be show you then

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443871570969:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2nah \(f = (x^21)^2\) \(f' = 2(x^21)(2x)=\dots\) if that is confusing, let \(u = x^2 1 \) and use \(\frac{dy}{dx} = \frac{dy}{du} \frac{du}{dx}\)

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0then is it be 4x(x^21)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2yes let's do it long way too \(f = (x^21)^2 = x^4  2 x^2 + 1\) \(f' = 4x^3  4x = 4x(x^21)\) \(\checkmark\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443861295810:dw

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0thnx a lot so the 4x(x^21) be the tangent line is

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(f' = 0 \implies 4x(x^21) = 0\) solve for x, you will get 3 turning points

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443862179850:dw
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.