Pregunta: differentiatef(w)=1+secw1-secw

Differentiate using the Quotient Rule which states that $\frac{\mathrm{d}}{\mathrm{d}\mathrm{w}}\left[\frac{\mathrm{f}\left(\mathrm{w}\right)}{\mathrm{g}\left(\mathrm{w}\right)}\right]$ is $\frac{\mathrm{g}\left(\mathrm{w}\right)\frac{\mathrm{d}}{\mathrm{d}\mathrm{w}}\left[\mathrm{f}\left(\mathrm{w}\right)\right]-\mathrm{f}\left(\mathrm{w}\right)\frac{\mathrm{d}}{\mathrm{d}\mathrm{w}}\left[\mathrm{g}\left(\mathrm{w}\right)\right]}{{\mathrm{g}\left(\mathrm{w}\right)}^2}$ where $\mathrm{f}\left(\mathrm{w}\right)=1+\sec \left(\mathrm{w}\right)$ and $\mathrm{g}\left(\mathrm{w}\right)=1-\sec \left(\mathrm{w}\right)$ .

$\frac{(1-\sec \left(\mathrm{w}\right))\frac{\mathrm{d}}{\mathrm{d}\mathrm{w}}[1+\sec \left(\mathrm{w}\right)]-(1+\sec \left(\mathrm{w}\right))\frac{\mathrm{d}}{\mathrm{d}\mathrm{w}}[1-\sec \left(\mathrm{w}\right)]}{{(1-\sec \left(\mathrm{w}\right))}^2}$