Explore topic-wise InterviewSolutions in .

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1.	If `y=(sinx)/(x+cosx)`, then find `(dy)/(dx)`.
Answer» Here, `u(x)=sinx`, `v(x)=x+cosx`. `(dy)/(dx)=((x+cosx)(d(sinx))/(dx)-sinx(d(x+cosx))/(dx))/((x+cosx)^2)` `=((x+cosx)cos-sinx(1-sinx))/((x+cosx)^2)` `=(xcosx+cos^2x-sinx+sin^2x)/((x+cosx)^2)` `=(xcosx-sinx+sin^2x+cos^2x)/((x+cosx)^2)` `=(xcosx-sinx+1)/((x+cosx)^2)`

2.

Compare SN1 and SN2 reaction mechanism

Answer»

SN1	SN2
The rate of reaction is unimolecular.	The rate of reaction is bimolecular
It is a two-step mechanism	It is only a one-step mechanism
Carbocation is formed as an intermediate part of the reaction.	No carbocation is formed during the reaction.
There is no partial bond formed with the carbon during this reaction.	Carbon forms a partial bond with the nucleophile and the leaving group.