Find derivatives for the functions. Assume a, b, c, and k are constants. s(t)=6 t^{-2}+3 t^{3}-4 t^{1 &#x2F. 2}

Find derivatives for the functions. Assume a, b, c, and k are constants.

${\displaystyle s^{\prime }\left(t\right){=}^1{\left(6t^{-2}\right)}^{\prime }+{\left(3t^3\right)}^{\prime }-{\left(4t^{\frac{1}{2}}\right)}^{\prime }}$

Simplify Trig Identity in ${\displaystyle \sin \theta }$ and/or ${\displaystyle \cos \theta }$
I just need to simplify in terms of ${\displaystyle \sin \theta }$ and/or ${\displaystyle \cos \theta }$
I did this one earlier today but forgot how I did it. I just need help on the other two.
$\frac{\cos \theta }{\sin \theta }+\frac{1}{\cos \theta }=\frac{{\cos }^2\theta +\sin \theta }{\sin \theta \cos \theta }$
Question 1: ${\displaystyle \sin \theta +\frac{1}{\cos \theta }}$
Question 2: ${\displaystyle \frac{\sin \theta }{\cos \theta }+\frac{1}{\sin \theta }}$

Suppose that a polynomial function of degree 4 with rational coefficient has the given number as zeros . Find the other zeros.

-1, √3, 11/3

Compute the value of
$\frac{(\arctan \frac{1}{2}+\arctan \frac{1}{3})}{(\mathrm{arcot}\frac{1}{2}+\mathrm{arcot}\frac{1}{3})}$