Find derivatives for the functions. Assume a, b, c, and k are constants. y=5x^{3}+7x^{2}-3x+1

FobelloE 2021-05-14 Answered
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{y}={5}{x}^{{{3}}}+{7}{x}^{{{2}}}-{3}{x}+{1}\)

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Expert Answer

SabadisO
Answered 2021-05-15 Author has 17056 answers
Find derivative of given function:
\(\displaystyle{y}'=^{{{1}}}{\left({5}{x}^{{{3}}}\right)}'+{\left({7}{x}^{{{2}}}\right)}'-{\left({3}{x}\right)}'+{1}'\)
\(\displaystyle=^{{{2}}}{5}\dot{{3}}{x}^{{{2}}}+{7}\dot{{2}}{x}-{3}\dot{{1}}+{0}\)
\(\displaystyle={15}{x}^{{{2}}}+{14}{x}-{3}\)
Rules used:
(1) Derivative of sum
(2) Power rule
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