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Differential coefficient of sec(tan^(-1)...

Differential coefficient of `sec(tan^(-1)x)` w.r.t `x` is

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as, `(d(sec theta))/(d theta) = sec theta tan theta`
as we have let `theta = tan^-1 x`
differenting both side we get
`(d theta)/(dx) = 1/(1+x^2)`
`(d sec theta)/(d theta)*(dx)/(dx) = sec theta tan theta`
`(d sec theta)/(dx)*(dx)/(d theta) = sec theta * tan theta`
`(d sec theta)/(dx) = (d theta)/(dx)*sec theta*tan theta`
`= 1/(1+x^2)* sqrt(1+x^2) * x`
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