mathcalculus
HELP DERIVATIVE:



This Question is Closed

mathcalculus
Best Response
You've already chosen the best response.
0

mathcalculus
Best Response
You've already chosen the best response.
0
how is the answer 7sqrt (6)/t^8?

mathcalculus
Best Response
You've already chosen the best response.
0
@BangkokGarrett

mathcalculus
Best Response
You've already chosen the best response.
0
@dan815

mathcalculus
Best Response
You've already chosen the best response.
0
i tried using the quotient rule .. but that didn't work

katherine.ok
Best Response
You've already chosen the best response.
1
so find derivative of sqrt(6)*t^7?

mathcalculus
Best Response
You've already chosen the best response.
0
also the power rule... so what's next?

katherine.ok
Best Response
You've already chosen the best response.
1
7(t^8)sqrt(6)

mathcalculus
Best Response
You've already chosen the best response.
0
yes how did you get to the answer?

katherine.ok
Best Response
You've already chosen the best response.
1
make it first look like sqrt(6)*t^7

mathcalculus
Best Response
You've already chosen the best response.
0
why?

katherine.ok
Best Response
You've already chosen the best response.
1
notice that sqrt (6) is constant. and t^7 is the variable you are worrying about.

mathcalculus
Best Response
You've already chosen the best response.
0
can i not use the power rule then quotient rule?

katherine.ok
Best Response
You've already chosen the best response.
1
because this is simply exponent derivative,you not need to worry about quotient rule , power rule.

Jhannybean
Best Response
You've already chosen the best response.
0
\[\large f(t) = \frac{\sqrt{6}}{t^7} = \sqrt{6}t^{7}\]\[\large f'(t) = \sqrt{6} \cdot 7 t^{71} \]\[\large f'(t) = 7 \sqrt{6}t^{8}\]\[\large f'(t) = \frac{7\sqrt{6}}{t^8}\]

katherine.ok
Best Response
You've already chosen the best response.
1
power rule and quotient rule is applicable in more complicated setting where you have f(x)*g(x) .

mathcalculus
Best Response
You've already chosen the best response.
0
ohhhhhhh. right right. this is just simple derivative

mathcalculus
Best Response
You've already chosen the best response.
0
okay. thank you!

Jhannybean
Best Response
You've already chosen the best response.
0
You should know that \[\large \frac{d}{dx} x^{n} =\frac{nx^{n1}}{n1}\]