Find dy/dx by implicit differentiation and evaluate the derivative at the given point.

xy = 35 ...?

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21-11-2016
Mathematics

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Find dy/dx by implicit differentiation and evaluate the derivative at the given point.

xy = 35 ...?

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antonsandiego antonsandiego · Answer 1 · 2016-11-22T04:05:13-05:00

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

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

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Related Questions

Find dy/dx by implicit differentiation and evaluate the derivative at the given point.

xy = 35 ...?