Question

Differentiate sec( tan x) with respect to x​

Answer 1

sec(tan(X))*tan(tan(X))*sec^2(X)

Step-by-step explanation:

applying chain rule of differentiation

Answer 2

$y = sec(tanx) \\ \\ \frac{dy}{dx} = sec(tanx)tan(tanx) \frac{d}{dx} tanx \\ \\ \frac{dy}{dx} = sec(tanx)tan(tanx) {sec}^{2} x$