Question

HELP DERIVATIVE:

Answer 1

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

Answer 2

@BangkokGarrett

Answer 3

@dan815

Answer 4

i tried using the quotient rule .. but that didn't work

Answer 5

so find derivative of sqrt(6)*t^-7?

Answer 6

also the power rule... so what's next?

Answer 7

-7(t^-8)sqrt(6)

Answer 8

yes how did you get to the answer?

Answer 9

make it first look like sqrt(6)*t^-7

Answer 10

why?

Answer 11

notice that sqrt (6) is constant. and t^-7 is the variable you are worrying about.

Answer 12

can i not use the power rule then quotient rule?

Answer 13

because this is simply exponent derivative,you not need to worry about quotient rule , power rule.

Answer 14

\[\large f(t) = \frac{\sqrt{6}}{t^7} = \sqrt{6}t^{-7}\]\[\large f'(t) = \sqrt{6} \cdot -7 t^{-7-1} \]\[\large f'(t) = -7 \sqrt{6}t^{-8}\]\[\large f'(t) = \frac{-7\sqrt{6}}{t^8}\]

Answer 15

power rule and quotient rule is applicable in more complicated setting where you have f(x)*g(x) .

Answer 16

ohhhhhhh. right right. this is just simple derivative

Answer 17

okay. thank you!

Answer 18

You should know that \[\large \frac{d}{dx} x^{n} =\frac{nx^{n-1}}{n-1}\]