1.

What is the derivative of `sin^(2)x` with respect to `cos^(2)x`?A. `tan^(2)x`B. `cot^(2)x`C. `-1`D. 1

Answer» Correct Answer - C
Let `u=sin^(2)x and v=cos^(2)x`
`rArr" "(du)/(dx)=2 sin x cos x=sin 2x`
`and (dv)/(dx)=-2 sin x cos x=-sin 2x`
`therefore" "(du)/(dv)=(du//dx)/(dv//dx)=(-sin2x)/(sin2x)=-1`


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