Question

Find derivatives for the functions. Assume a, b, c, and k are constants. W(t)=r^{2}\cos r

Derivatives
ANSWERED
asked 2021-06-01
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{W}{\left({t}\right)}={r}^{{{2}}}{\cos{{r}}}\)

Answers (1)

2021-06-02
\(\displaystyle{W}'{\left({r}\right)}={\left({r}^{{{2}}}{\cos{{r}}}\right)}'\)
\(\displaystyle={\left({r}^{{{2}}}\right)}'{\cos{+}}{r}^{{{2}}}{\left({\cos{{r}}}\right)}'\)
\(\displaystyle={2}{r}{\cos{{r}}}-{r}^{{{2}}}{\sin{{r}}}\)
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