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sabika13
Group Title
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
 2 years ago
sabika13 Group Title
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
 2 years ago

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

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

imron07 Group TitleBest ResponseYou've already chosen the best response.0
That's the slope of tangents at that points. (If you did find f'(x) correctly :))
 2 years ago

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

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

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

imron07 Group TitleBest ResponseYou've already chosen the best response.0
I 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
 2 years ago

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

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

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

mark_o. Group TitleBest ResponseYou've already chosen the best response.1
can follow from here?
 2 years ago

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

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

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

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

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

sabika13 Group TitleBest ResponseYou've already chosen the best response.0
advanced functions
 2 years ago

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

mark_o. Group TitleBest ResponseYou've already chosen the best response.1
limits of a function?
 2 years ago

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

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

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

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

mark_o. Group TitleBest ResponseYou've already chosen the best response.1
YW, good luck now
 2 years ago
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