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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.
 one year ago
 one year 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.
 one year ago
 one year ago

This Question is Closed

Mimi_x3Best ResponseYou've already chosen the best response.1
is it:\[\frac{2x^21}{x^2}\]?
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
Messed up in product rule somewhere.
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
Maybe doublecheck your exponents.
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
For 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.'
 one year ago

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

bmelykBest ResponseYou've already chosen the best response.0
now i redid it and got 2/x
 one year ago

bmelykBest ResponseYou've already chosen the best response.0
for the third way i did the definition of the derivative and i only got a 2
 one year ago

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

bmelykBest ResponseYou've already chosen the best response.0
i redid the product rule and got 2/x
 one year ago

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

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