What is the derivative of $tan^2x secx$ ?

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Answer 1 · 2016-06-30T09:02:12

$d/(dx)tan^2xsecx=tanxsecx(2+3tan^2x)$

$d/(dx)tan^2xsecx$

= $2tanxsec^2x xxsecx+tan^2x xxsecxtanx$

= $tanxsecx(2sec^2x+tan^2x)$

= $tanxsecx(2(1+tan^2x)+tan^2x)$

= $tanxsecx(2+3tan^2x)$

What is the derivative of tan^2x secx tan^2x secx?