Bounded derivative

  • Thread starter slippers
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  • #1
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Main Question or Discussion Point

Hi all, my first post so go easy on me! Doing some revision and have been tripped up on a really simple question!

Where f(x) = xCos(x)

Show the bound f '(x)<=6 is valid for 0<= x<=5

I suspect this is an easy solution using the intermediate value theorem!

Thanks in advance,

slippers
 

Answers and Replies

  • #2
147
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f'(x) = cos(x) + x*sin(x) <= 1 + 5*1 = 6
 
  • #3
3
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Ahhh, something just moved in my brain...

Thanks very much! :D
 

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