# 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}

djeljenike 2021-09-16 Answered
Find derivatives for the functions. Assume a, b, c, and k are constants.
$y=5{x}^{3}+7{x}^{2}-3x+1$
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## Expert Answer

gwibdaithq
Answered 2021-09-17 Author has 84 answers
Find derivative of given function:
${y}^{\prime }{=}^{1}{\left(5{x}^{3}\right)}^{\prime }+{\left(7{x}^{2}\right)}^{\prime }-{\left(3x\right)}^{\prime }+{1}^{\prime }$
${=}^{2}5\stackrel{˙}{3}{x}^{2}+7\stackrel{˙}{2}x-3\stackrel{˙}{1}+0$
$=15{x}^{2}+14x-3$
Rules used:
(1) Derivative of sum
(2) Power rule
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