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Question

If y=sin x+ex,then d2xdy2=


A

(sin x+ex)1

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B

sin xex(cos x+ex)2

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C

sin xex(cos x+ex)3

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D

sin x+ex(cos x+ex)3

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Solution

The correct option is C

sin xex(cos x+ex)3


y=sin x+exdydx=cos x+ex
dxdy=(cos x+ex)1 (i)
d2xdy2=(cos x+ex)2(sin x+ex)dxdy
Substituting the value of dydx from (i)
d2xdy2=(sin xex)(cos x+ex)2(cos x+ex)1=sin xex(cos x+ex)3


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