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anonymous
 3 years ago
for the functions f(x)= 2x/(x3), compare the slopes of the tangents
i) at the points where x=3.5 and x=20
how do i do this?
anonymous
 3 years ago
for the functions f(x)= 2x/(x3), compare the slopes of the tangents i) at the points where x=3.5 and x=20 how do i do this?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Can you find the first derivative of f(x)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for x=3.5, it is 14 and for x=20 is 2.36

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0That's the slope of tangents at that points. (If you did find f'(x) correctly :))

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the answer says 24 for 3.5 tho :S

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Tho? :? \[f'(x)=\frac{2(x3)2x}{(x3)^2}\\f'(3.5)=24 \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0though*.. I dont get it.. what did you do?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I thought it was some new math symbol. If f(x)=u/v then f'(x)=(u'vuv')/v^2 Here, u=2x u'=2 v=x3 v'=1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@ sabika13 did you get it? any question here?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0use the quotient rule here

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0d(u/v)dx=(v du/dx  u dv/dx)/v^2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can follow from here?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for y= 2x/(x3), let u =2x and v=(x3) now do the quotient rule

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@ sabika13 are you following now here?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ivenever heard of the quotient rule.. or imforgetting..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what does d and v stand for :S

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i see, are you in algebra class now?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes, do you know limits?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0limits of a function?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok advance functions, im sure you already done limits of a function

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0im not sure if idid.. or what that is

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\lim _{x>0}\frac{ f(x+ \Delta x )f(x) }{ \Delta x }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do that limit as x approach to zero and you will arrived at f'(x)=6/(x3)^2 then you plug in x=3.5 and x=20 that is f'(3.5)=24 and f'(20)=0.021 and for f(3.5)=14 and f(20)= 3.36
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