Given `g(t) = t(4-t)^(1/2)`
Using the product rule:
`g'(t) = (4-t)^(1/2)*1+t*1/2*(4-t)^(-1/2)*-1`
`g'(t) = (4-t)^(1/2)-(t (4-t)^(-1/2)) / 2`
`g'(t) = sqrt(4-t)-t/(2 sqrt(4-t))` `rarr` answer.
We have a Math tutor online right now to help you!
To chat with a tutor, please set up a tutoring profile by creating an account and setting up a payment method. If you initiate a chat, please note you will be charged $0.50 a minute for tutoring time.