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Question

Find f(x) of f(x)
if f(x) is given by
(i) xex
(ii) xsinx

A
(i)(x+1)ex
(ii)xcosx+sinx
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B
(i)(x1)ex
(ii)cosx+sinx
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C
(i)(x1)ex
(ii)x2.cosx+sinx
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D
(i)(x+1)e2x
(ii)x.cosx+sin2x
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Solution

The correct option is A (i)(x+1)ex
(ii)xcosx+sinx
(i) f(x)=xex+ex.1=(x+1)ex
(ii) f(x)=x.ddx(sinx)+sinx.ddx(x) f(x)=x.cosx+sinx

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