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

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

A

`- cot x `

B

`cot x `

C

`tan x `

D

`-tan x `

Text Solution

Verified by Experts

The correct Answer is:
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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