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HELP DERIVATIVE:

Mathematics
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how is the answer -7sqrt (6)/t^8?

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Other answers:

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

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