anonymous
  • anonymous
???
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
seems like you want to take a derivative to me
anonymous
  • anonymous
I think thats what they're asking, so I would derive that equation to get 8x
amistre64
  • amistre64
almost, y' = 8xx'

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amistre64
  • amistre64
do you know what an implicit is?
amistre64
  • amistre64
or rather, just take the derivative of both sides with respect to time, not with respect to x
anonymous
  • anonymous
Implicit differentiation?
amistre64
  • amistre64
yes \[y = 4x^2+1\] \[\frac{d}{dt}y = \frac{d}{dt}4x^2+\frac{d}{dt}1\] \[\frac{dy}{dt} = \frac{dx}{dt}8x+0\]
amistre64
  • amistre64
dx/dt has been defined for us as 2
anonymous
  • anonymous
So now I would plug in my values?
amistre64
  • amistre64
of course
anonymous
  • anonymous
So it is increasing at a rate of 16?
amistre64
  • amistre64
correct
amistre64
  • amistre64
the key is seeing that x' is not defined as dx/dx in this case, so we take a derivative implicitly with respect to time, and not to x
anonymous
  • anonymous
Okay ill remember that for next time, thank you so much for your help!!!!!!
amistre64
  • amistre64
good luck

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