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Question

y=cos x3, then dydx=?


A

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B

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C

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D

none of these

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Solution

The correct option is D

none of these


These type of questions are done by substitution.
Put x3=u, differentiating u w.r.t. 'x'
3x2=dudx .....(i)
Also y=cos u
Now differentiating y w.r.t. u,dydu=sinu=sinx3....(ii)

Using (i) and (ii) dydu.dudx=dydx=3x2sinx3


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