Question

find the derivative of cos ^{2}(3t+5). please step by step so i'll know how to do it in the future

Answer 1

\[\cos ^{2}(3t+5)\]

Answer 2

chain rule 3 times. bring down the 2first of all. then do the cos portion and then the inside of the cos fn.

2cos(3t+5)(-sin(3t+5))(3)
= -6cos(3t+5)sin(3t+5)

Answer 3

so i'm able to bring that 2 in front of the cos?

Answer 4

yeah i find it easier to visualize as : (cosA)^2 where A is whatever function, and you would do -2cosAsinA as the derivative

Answer 5

ahh that really helps. thank you thank you!!

Answer 6

no problem!