Question

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

Derivatives
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asked 2021-05-29
Find derivatives for the functions. Assume a, b, c, and k are constants. \(\displaystyle{g{{\left({t}\right)}}}={3}{\sin{{\left({5}{t}\right)}}}+{4}\)

Answers (1)

2021-05-30
\(\displaystyle{g}'{\left({t}\right)}={\left[{3}{\sin{{\left({5}{t}\right)}}}+{4}\right]}'\)
\(\displaystyle={3}{\left[{3}{\sin{{\left({5}{t}\right)}}}\right]}'+{\left({4}\right)}'\)
\(\displaystyle={3}\dot{{5}}{\cos{{\left({5}{t}\right)}}}+{0}\)
\(\displaystyle={15}{\cos{{\left({5}{t}\right)}}}\)
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