Estimate Error: How Did He Get 4?

[intenzxboi]

I'm trying to figure out how to get M

http://i148.photobucket.com/albums/s32/intenzxboi/hw1.jpg

how did he get 4??

 

[Mark44]

The function is f(x) = sin(2x). Find f'(x) and then f''(x). What is the largest possible value of f''(x)?

 

[intenzxboi]

so because sin 2x cannot be more than 1 between the pi/2 and 0??

 

[letmeknow]

sin(x) oscillates between -1 and 1. Check on the TI.

Also, sin(nx) , such as sin(3x) , just increases the frequency I think. You can graph that too. It just squooshed the oscillations closer to the y-axis. So they are still in between -1 and 1.

 

[intenzxboi]

o ok i got it thanks