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The derivative of ` cos x^(3)` w.r.t. ` x^(3)` isA. `- cot x `B. `cot x `C. `tan x `D. `-tan x `

Answer» Correct Answer - A
Let ` u=cos^(3)x, v=sin^(3) x `
`(du)/(dx)=- 3 cos^(2) x sinx, (dv)/(dx)=3 sin^(2)x cos x`
Now ,`(du)/(dv)=(-3 cos^(2) x sin x)/(3 sin^(2) x cos x)`
`=-( cosx)/( sin x )`
`= - cotx `


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