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anonymous
 one year ago
Im trying to derive the following...
((4x+2)^2  4) / (x+1)
And I use quotient rule to get...
anonymous
 one year ago
Im trying to derive the following... ((4x+2)^2  4) / (x+1) And I use quotient rule to get...

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 8(4x+2)(x+1)  (4x+2)^2 4 }{ (x+1)^2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But now I need help with simplification

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0you are correct so far

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0well first expand those expressions in parentheses

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.2Be sure you multiply out the numerator first and then simplify that. You will it cancel x+1 in the denominator and left with something simple.

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well then factor the numerator (4x + 2){8(x + 1) (4x +2)+4)} simplify the part inside { }

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the inside would be 4x+10 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then do i expand those 2 brackets?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well it really depends... as the factored numerator is a correct solution... I'd leave it that way to avoid errors... but it really depends on what the question as for

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it just asks for the derivative and apparently the answer is 16 but i can't get that

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well there must be a condition and you have been given a value of x to substitute the question may ask for the slope of the curve at x = 2 or something like that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0i think its 16 if x = 1  if my simplification is correct

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0are you asked to find f '(1) or anything like that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0f'(x) is a function of x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you think it may be wrong?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0then the answer cant be 16

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0yes  something is wrong...

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well if you are asked for the derivative you have it correct. if you are asked to find the slope at x = 1 or f'(1) then you would need a numeric answer

LynFran
 one year ago
Best ResponseYou've already chosen the best response.0u forget to take the derivative of the denominator that the problem here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohh i get it! I have to simplify the numerator before even differentiating it! Cause that way I get f(x) = 16x and f'(x) = 16

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0the derivative of the denominator is 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x) = \frac{ 16x^2+16x+44 }{ (x+1) } = \frac{ 16x(x+1) }{ (x+1) } = 16x\]

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.2Perfect! $$ f(x)=\cfrac{(4x+2)^2  4}{x+1}=\cfrac{16x^2+16x+44}{x+1}=\cfrac{16x(x+1)}{x+1}\\ $$ Now you see it: \(f'(x)=16\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah exactly!! Thanks so much for the help! :D

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0oh yes!!!! i missed that

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0what a crafty question!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lol i know right! XD

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0that function is a 'disguised' straight line with a slope of 16

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0you should be able to get 16 using the quotient rule but i didn't . There must have been an error in my work.
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