(1 pt) Let f(x)=6 \sin(x).

a.) |f'(x)| less than or equal to _____
b.) By the Mean Value Theorem, |f(a)-f(b)| less than or equal to _____ |a-b| for all a and b.

Question

agent0smith · Answer

Post a screenshot.

anonymous · Answer

mac.. not sure how

agent0smith · Answer

Then use the equation editor on here. Or google how to take a screenshot on mac.

anonymous · Answer

attachment

anonymous · Answer

did that work?

agent0smith · Answer

Find the derivative... or don't, for part a you can do it without much effort.

anonymous · Answer

6cosx?

anonymous · Answer

so just 6 i guess

anonymous · Answer

that was ridiculously easy, i guess i just don't really understand why they are both 6

agent0smith · Answer

Well what's the greatest value f(b) - f(a) could be?

agent0smith · Answer

Think of highest and lowest values of f(x).

agent0smith · Answer

Part b is not 6.

anonymous · Answer

6 was correct in both slots! i have to go to work thanks for all the help!

agent0smith · Answer

Second one seems like it should be 12... 6cosx has max and min values of 6 and -6, so 6 - (-6) = 12