$\rhd$ Worked Examples: derivatives of $\sin(x)$ and $\cos(x)$. (5:13) Find the derivative of $g(x)=7\sin(x)-3\cos(x)-\left(\dfrac{\pi}{\sqrt[3]{x}}\right)^2$.
* Practice: Derivatives of $\sin(x)$ and $\cos(x)$. (4 problems)
$\rhd$ Derivatives of $\tan(x)$ and $\cot(x)$ (4:37) Use the quotient rule to derive formulas for the derivative of $\tan(x)$ and $\cot(x)$.
$\rhd$ Derivatives of $\sec(x)$ and $\csc(x)$ (4:27) Use the quotient rule to derive formulas for the derivative of $\sec(x)$ and $\csc(x)$.