Question

Differentiate.
R(t) = (t + e^t)(6 − sqrt(t))
WILL FAN AND GIVE MEDAL!!

Answer 1

Convert the sqrt to a fractional exponent, FOIL it, and except for the product rule on the last term it's straightforward.

Show some work for additional help.

Answer 2

(t+e^t)(6-t^/2) do i leave the e^t the same?? @NoelGreco

Answer 3

Yes. It's \[t ^{\frac{ 1 }{ 2 }}\]

Answer 4

when i foil i get 6t+t(-t^1/2)+6(e^t)-e^t(t^1/2)