secx^2.tanx derivative | What is the derivative of sec^2(x).tan(x)?

Hello everyone. This lesson we will tell the derivative of $sec^2x.tanx$

What is the derivative of $f(x)=sec^2x.tanx$?

To differentiate the expression we need to apply the multiplicative derivative. When we perform the multiplication derivative, the answer is as follows. Absolutely not simplified.

$sec^2x.tanx$ derivative = $sec^2x(sec^2x) + tanx [2.secx(secx.tanx)]$