anonymous
  • anonymous
x(t) = 5 + 3t - 4t^2 = 5t^3 find the derivative
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Luigi0210
  • Luigi0210
Is that "=" suppose to be a "+"?
anonymous
  • anonymous
Yes , sorry. its suppose to be x(t)= 5 + 3t - 4t^2 + 5t^3
triciaal
  • triciaal
@bryeshia4 is there a special reason why the polynomial is written backwards?

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anonymous
  • anonymous
@triciaal can u help on my question I mentioned u in?
triciaal
  • triciaal
|dw:1440955362494:dw|
anonymous
  • anonymous
@triciaal No!
triciaal
  • triciaal
|dw:1440955482475:dw|
idku
  • idku
basically, that: \(x(t)=5+3t-4t^2+5t^3\) for the derivative of a constant, you get 0, and for the rest terms you apply the power rule to - each time: Power rule: \(\color{royalblue}{d/dt~~(t^n)~=~(n)\cdot t^{n-1}}\) \(x\color{red}{`}(t)={\color{red}{0}}+(1)3t^{1\color{red}{-1}}-(2)4t^{2\color{red}{-1}}+(3)5t^{3\color{red}{-1}}\)
idku
  • idku
x'(t) is a notation for the derivative of the function x(t)

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