So I thought I understood how to do these problems until I got to this one. Could someone explain it to me please.
11) Find the points and state whether it is increasing or decreasing. sint 0 less than or equal to t less than or equal to 2pi
So I thought I understood how to do these problems until I got to this one. Could someone explain it to me please.
11) Find the points and state whether it is increasing or decreasing. sint 0 less than or equal to t less than or equal to 2pi
I've never heard of the monotonicity theorem before, but I probably know it by another name (or perhaps by no name at all).
The derivative of $\displaystyle \sin{t}$ is $\displaystyle \cos{t}$ which is positive for $\displaystyle 0<t<\frac{\pi}{2}$ and $\displaystyle \frac{3\pi}{2}<t<2\pi$ and negative for $\displaystyle \frac{\pi}{2}<t<\frac{3\pi}{2}$.
- Hollywood