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 2 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?
 2 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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imron07
 2 years ago
Best ResponseYou've already chosen the best response.0Can you find the first derivative of f(x)

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0for x=3.5, it is 14 and for x=20 is 2.36

imron07
 2 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 :))

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0the answer says 24 for 3.5 tho :S

imron07
 2 years ago
Best ResponseYou've already chosen the best response.0Tho? :? \[f'(x)=\frac{2(x3)2x}{(x3)^2}\\f'(3.5)=24 \]

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0though*.. I dont get it.. what did you do?

imron07
 2 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

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1@ sabika13 did you get it? any question here?

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1use the quotient rule here

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1d(u/v)dx=(v du/dx  u dv/dx)/v^2

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1for y= 2x/(x3), let u =2x and v=(x3) now do the quotient rule

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1@ sabika13 are you following now here?

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0ivenever heard of the quotient rule.. or imforgetting..

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0what does d and v stand for :S

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1oh i see, are you in algebra class now?

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1yes, do you know limits?

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1ok advance functions, im sure you already done limits of a function

sabika13
 2 years ago
Best ResponseYou've already chosen the best response.0im not sure if idid.. or what that is

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1\[\lim _{x>0}\frac{ f(x+ \Delta x )f(x) }{ \Delta x }\]

mark_o.
 2 years ago
Best ResponseYou've already chosen the best response.1do 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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