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The derivative of cos^(3)x w.r.t. sin^...

The derivative of `cos^(3)x ` w.r.t. `sin^(3)x ` is

A

`-sin x^(3)`

B

`sin x^(3)`

C

`-3x^(2) sin x^(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Let ` u - cos x^(3) and v = x^(3)`
` therefore (du)/(dx) = - sin x^(3) xx 3x^(2) and (du)/(dx) = 3x^(2)`
` therefore (du)/(dv) = - sin x^(3)`
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