Question

find dy/dx, if y=log sec (ex2)​

Answer 1

$y = log \: sec( {e}^{ {x}^{2} } ) \\ \\ \frac{dy}{dx} = \frac{1}{sec( {e}^{ {x}^{2} } )} \frac{d}{dx} {e}^{ {x}^{2} } \\ \\ \frac{dy}{dx} = \frac{1}{sec( {e}^{ {x}^{2} }) } {e}^{ {x}^{2} } \frac{d}{dx} {x}^{2} \\ \\ \frac{dy}{dx} = \frac{2x {e}^{ {x}^{2} } }{sec( {e}^{ {x}^{2} } )}$