Question

Find the derivative of (4 sec x sin x+cos ec x cos x-5 tan x cot x) with respect to x.

Answer 1

`(d)/(dx)(4 sec x sin x+cos ec x cos x-5tan x cot x)`
`=(d)/(dx)(4(sinx)/(cos x)+(cos x)/(sin x)-5.tanx.(1)/(tanx))`
`=4(d)/(dx)(tan x)+(d)/(dx)(cot x)-(d)/(Dx)(5)`
`=4sec^(2)x-cos ec^(2)x-0`
`=(5 sec^(2)x-cos ec^(2)x)`.