A community for students.
Here's the question you clicked on:
 0 viewing
bmelyk
 3 years ago
Find the derivative of f(x) =2x^21/x^2 in three ways :
(a) using the quotient rule
(b) using the product rule
(c) using neither the product rule nor the quotient rule
I have already done all of these out.
my answers:
a) 2/x^3
b)4x^3+x+8/2
c)2
for each one I've gotten a different answer, just wondering why. I think I'm supposed to get the same answer each time.
bmelyk
 3 years ago
Find the derivative of f(x) =2x^21/x^2 in three ways : (a) using the quotient rule (b) using the product rule (c) using neither the product rule nor the quotient rule I have already done all of these out. my answers: a) 2/x^3 b)4x^3+x+8/2 c)2 for each one I've gotten a different answer, just wondering why. I think I'm supposed to get the same answer each time.

This Question is Closed

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.2is it:\[\frac{2x^21}{x^2}\]?

CliffSedge
 3 years ago
Best ResponseYou've already chosen the best response.0Messed up in product rule somewhere.

CliffSedge
 3 years ago
Best ResponseYou've already chosen the best response.0Maybe doublecheck your exponents.

CliffSedge
 3 years ago
Best ResponseYou've already chosen the best response.0For product rule start with f(x) = (2x^21)(x^2) Then it's 'first times the derivative of the second, plus the second times the derivative of the first.'

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.1nonquotientorproductrule way would be: 2x^2/x^2  1/x^2 =2 1/x^2 (2 1/x^2)' =  (2*x^3)

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0now i redid it and got 2/x

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0for the third way i did the definition of the derivative and i only got a 2

CliffSedge
 3 years ago
Best ResponseYou've already chosen the best response.0You're losing track of an exponent somewhere. What are you getting for the derivative of x^2 ?

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0i redid the product rule and got 2/x

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0okay i got a and b right now, just wondering why my definition of the derivative one is wrong.

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0i got 2/x^3 for a and b but only 2 for the definition of the derivative.
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.