Question

Find the derivative, r'(t), of the vector function.
r(t) = at cos 2ti + b sin^5 tj + c cos^5 tk

Answer 1

take the derivative of each component

Answer 2

\(\large r'(t) = (at \cos 2t)' i + (b \sin^5 t)' j + (c \cos^5 t)' k\)

Answer 3

(acos(2t)-2atsin(2t))i+(5bcos(t)sin^2(t))j-(5csin(t)cos^2(t))k ??

Answer 4

i see few mistakes/typoes
check again :)

Answer 5

sin^4 ???:S

Answer 6

yes

Answer 7

and cos ^4 right:S

Answer 8

yes thats it !

Answer 9

http://www.wolframalpha.com/input/?i=%28at+%5Ccos+2t%29%27+i+%2B+%28b+%5Csin%5E5+t%29%27+j+%2B+%28c+%5Ccos%5E5+t%29%27+k

Answer 10

thanks:)

Answer 11

np :)