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What is the derivative of #tan(x − y) = x#?

1 Answer

Jul 31, 2016

#dy/dx=x^2/(1+x^2)#.

Explanation:

#tan(x-y)=x#

#rArr x-y=arctanx#

#rArr x-arctanx=y#

#rArr dy/dx=1-1/(1+x^2)=x^2/(1+x^2)#.

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