Find the derivative of the function $y=\sec \left(3e^x\right)$.

Identify the inner function $u=g\left(x\right)$, and the outer function $y=f\left(u\right)$ for the composition $y=f\left(g\right(x\left)\right)$. Then, find $\frac{dy}{dx}$:

$y=(4x-1{)}^6$

Evaluate the following derivative using the table given below.

$\frac{\text{d}}{\text{dx}}\left(g\left(x\right)^5\right)_{x=10}$

Calculate the equation of the tangent line to the graph of $y=$ $3^{\cos x}$ at $x=0$. Also, graph the function and the tangent line on the same coordinate system.