Derivative of SecX

Show that the derivative of $\cos{x}$ is equal to $-\sin{x}$

Show that the derivative of $\tan{x}$ is equal to $\sec^2{x}$

Use the quotient rule to find the derivative of $\csc{x}$

Find the derivative of the trig function, $f(x) = \sin{(x^2 + x)}$