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If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,...

If `u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v)` is `3/2xcosx^3cos e cx^2` `2/3sinx^3secx^2` `tanx` (d) none of these

A

`1/2 x cos x^(3)cosec^(2)`

B

`3/2 x cos x^(3)cosec^(2)`

C

`1/2 x sec x^(3)sinx^(2)`

D

`3/2 x secx^(3) cosec x^(2)`

Text Solution

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The correct Answer is:
B
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