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bmelyk
 2 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
 2 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.

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

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

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

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

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

bmelyk
 2 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
 2 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.
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