Globokim8

2021-09-19

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

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

falhiblesw

Find derivative of given function:
${s}^{\prime }\left(t\right){=}^{1}{\left(6{t}^{-2}\right)}^{\prime }+{\left(3{t}^{3}\right)}^{\prime }-{\left(4{t}^{\frac{1}{2}}\right)}^{\prime }$
${=}^{2}6\stackrel{˙}{-2{t}^{3}}+3\stackrel{˙}{3}{t}^{2}-4\stackrel{˙}{\frac{1}{2}}{t}^{-\frac{1}{2}}$
$=-12{t}^{-3}+9{t}^{2}-2{t}^{-\frac{1}{2}}$
Rules used:
(1) Derivative of sum
(2) Power rule

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