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Question

If y=x+ex, then d2xdy2, is

A
ex
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B
ex(1+ex)3
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C
ex(1+ex)2
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D
1(1+ex)2
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Solution

The correct option is B ex(1+ex)3
y=x+ex
1=dxdy+ex.dxdy
1=dxdy(1+ex)
dxdy=11+ex
d2xdy2=(1+ex)ddy11(1+ex)2ddy(1+ex)
d2xdy2=ex.dx/dy(1+ex)2
d2xdy2=ex(1+ex)2.1(1+ex)=ex(1+ex)3
d2xdy2=ex(1+ex)3

1085373_1103176_ans_774e4ff5097e4dbcb263512740c5c33e.jpg

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