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If u = f(x3), v = g(x2), f'(x) = cosx and g'(x) = sinx then dudv is

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By Expert Faculty of Sri Chaitanya
a
32x.cosx3 . cosecx2
b
23sin x3. secx3
c
tan x
d
sec x
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detailed solution

Correct option is A

Given u=fx3 and V=gx2

Given f'x=cosx,g'x=sinx

dudv=f'x33x2g'x22x =cosx33x2sinx2 =32xcosx3cosecx2


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