Question

find dr/dt of sin(rt) = (1/5)

Answer 1

using implicit differentiation

Answer 2

\[(rt)'\cos(rt)=0=>(r't+r)\cos(rt)=0\]

Answer 3

\[r't \cos(rt)+r \cos(rt)=0\]

Answer 4

\[r' t \cos(rt)=-r \cos(rt)\]

\[r' =\frac{-r \cos(r t)}{t \cos(r t)}\]

\[r'=\frac{-r}{t}, \cos(rt) \neq 0\]

Answer 5

THANK YOU!

Answer 6

np :)