Question

# Find derivatives for the functions. Assume a, b, c, and k are constants. g(t)=3sin(5t)+4

Derivatives
Find derivatives for the functions. Assume a, b, c, and k are constants. $$\displaystyle{g{{\left({t}\right)}}}={3}{\sin{{\left({5}{t}\right)}}}+{4}$$

$$\displaystyle{g}'{\left({t}\right)}={\left[{3}{\sin{{\left({5}{t}\right)}}}+{4}\right]}'$$
$$\displaystyle={3}{\left[{3}{\sin{{\left({5}{t}\right)}}}\right]}'+{\left({4}\right)}'$$
$$\displaystyle={3}\dot{{5}}{\cos{{\left({5}{t}\right)}}}+{0}$$
$$\displaystyle={15}{\cos{{\left({5}{t}\right)}}}$$