aruduanMooanmccrat aruduanMooanmccrat
  • 21-11-2016
  • Mathematics
contestada

Find dy/dx by implicit differentiation and evaluate the derivative at the given point.
xy = 35 ...?

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antonsandiego
antonsandiego antonsandiego
  • 22-11-2016
So, we have xy=35
Since that, the first thing you should do is to 
differentiate with respect to x
(look at the pic. 1), as you can see this is simply 1, which means you have to simplify 
Then we need to perform solving for 
 for dy/dx as we are about to get the derivative of y with respect to x. pic.2
Get back to the oroginal function, now we can substitute this for y to get the func which will depend only on x pic.3
Then pic.4 

Ver imagen antonsandiego
Ver imagen antonsandiego
Ver imagen antonsandiego
Ver imagen antonsandiego
Ver imagen antonsandiego
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