Answer
$\frac{dy}{dt}=-\ln(8)\times 8^{(-t)}$
Work Step by Step
$y=8^{-t}=e^{-t\times\ln(8)}$
On differentiating both sides:
$\frac{dy}{dt}=-\ln(8)\times e^{-t\times\ln(8)}$
$\frac{dy}{dt}=-\ln(8)\times 8^{(-t)}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.