Find derivatives for the functions. Assume a, b, c, and k are constants. s(t)=6 t^{-2}+3 t^{3}-4 t^{1 / 2}

chillywilly12a 2021-06-15 Answered

Find derivatives for the functions. Assume a, b, c, and k are constants. \(\displaystyle{s}{\left({t}\right)}={6}{t}^{{-{2}}}+{3}{t}^{{{3}}}-{4}{t}^{{{\frac{{{1}}}{{{2}}}}}}\)

Want to know more about Derivatives?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

avortarF
Answered 2021-06-16 Author has 19650 answers
Find derivative of given function:
\(\displaystyle{s}'{\left({t}\right)}=^{{{1}}}{\left({6}{t}^{{-{2}}}\right)}'+{\left({3}{t}^{{{3}}}\right)}'-{\left({4}{t}^{{{\frac{{{1}}}{{{2}}}}}}\right)}'\)
\(\displaystyle=^{{{2}}}{6}\dot{{-{2}{t}^{{{3}}}}}+{3}\dot{{3}}{t}^{{{2}}}-{4}\dot{{\frac{{{1}}}{{{2}}}}}{t}^{{-{\frac{{{1}}}{{{2}}}}}}\)
\(\displaystyle=-{12}{t}^{{-{3}}}+{9}{t}^{{{2}}}-{2}{t}^{{-{\frac{{{1}}}{{{2}}}}}}\)
Rules used:
(1) Derivative of sum
(2) Power rule
Not exactly what you’re looking for?
Ask My Question
33
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more
...