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marigirl
 one year ago
Related Rates of change Differentiation
Show that:
marigirl
 one year ago
Related Rates of change Differentiation Show that:

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marigirl
 one year ago
Best ResponseYou've already chosen the best response.0Show that: \[\frac{ d }{ dx }(\frac{ v^2 }{ 2 })=\frac{ d^2x }{ dt^2 } \] Where x represents the distance traveled in t secs by a particle moving with velocity v

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ dx }{ dt }=v\] Could we state that?

baru
 one year ago
Best ResponseYou've already chosen the best response.1differentiate dx/dt=v again with respect to time to get \[d^2x/dt^2=dv/dt\]

baru
 one year ago
Best ResponseYou've already chosen the best response.1now you can replace the right hand side of the given equation with "dv/dt". now all thats left to do, is to show that the left hand side of the equation some how reduces to dv/dt. with me so far?

baru
 one year ago
Best ResponseYou've already chosen the best response.1do you know the "chain rule" of differentiation?

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0oh yup got it! thanks!
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