anonymous
  • anonymous
HELP DERIVATIVE:
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
how is the answer -7sqrt (6)/t^8?
anonymous
  • anonymous

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anonymous
  • anonymous
anonymous
  • anonymous
i tried using the quotient rule .. but that didn't work
anonymous
  • anonymous
so find derivative of sqrt(6)*t^-7?
anonymous
  • anonymous
also the power rule... so what's next?
anonymous
  • anonymous
-7(t^-8)sqrt(6)
anonymous
  • anonymous
yes how did you get to the answer?
anonymous
  • anonymous
make it first look like sqrt(6)*t^-7
anonymous
  • anonymous
why?
anonymous
  • anonymous
notice that sqrt (6) is constant. and t^-7 is the variable you are worrying about.
anonymous
  • anonymous
can i not use the power rule then quotient rule?
anonymous
  • anonymous
because this is simply exponent derivative,you not need to worry about quotient rule , power rule.
Jhannybean
  • Jhannybean
\[\large f(t) = \frac{\sqrt{6}}{t^7} = \sqrt{6}t^{-7}\]\[\large f'(t) = \sqrt{6} \cdot -7 t^{-7-1} \]\[\large f'(t) = -7 \sqrt{6}t^{-8}\]\[\large f'(t) = \frac{-7\sqrt{6}}{t^8}\]
anonymous
  • anonymous
power rule and quotient rule is applicable in more complicated setting where you have f(x)*g(x) .
anonymous
  • anonymous
ohhhhhhh. right right. this is just simple derivative
anonymous
  • anonymous
okay. thank you!
Jhannybean
  • Jhannybean
You should know that \[\large \frac{d}{dx} x^{n} =\frac{nx^{n-1}}{n-1}\]

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