Sec 4.2: The Mean Value Theorem - PowerPoint PPT Presentation

sec 4 2 the mean value theorem n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Sec 4.2: The Mean Value Theorem PowerPoint Presentation
Download Presentation
Sec 4.2: The Mean Value Theorem

Loading in 2 Seconds...

play fullscreen
1 / 12
Sec 4.2: The Mean Value Theorem
0 Views
Download Presentation
Download Presentation

Sec 4.2: The Mean Value Theorem

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Sec 4.2: The Mean Value Theorem Beijing celebrates the wonder of the amazing Mean Value Theorem the mean value theorem of calculus decorate a pedestrian bridge across Zhushikou Dong Dajie in Beijing  The picture is taken a few blocks south of Tiananmen Square (between Qianmen and the Temple of the Heaven, in Chongwen District of the city

  2. Sec 4.2: The Mean Value Theorem Beijing celebrates the wonder of the amazing Mean Value Theorem

  3. Sec 4.2: The Mean Value Theorem ROLLE’S THEOREM 1 there is at least one number c in (a, b) f(x) is continuous on [a, b] 2 f(x) is differentiable on (a, b) 3

  4. Sec 4.2: The Mean Value Theorem F092

  5. Sec 4.2: The Mean Value Theorem Example for 3 ROLLE’S THEOREM 1 there is at least one number c in (a, b) f(x) is continuous on [a, b] 2 f(x) is differentiable on (a, b) 3

  6. Sec 4.2: The Mean Value Theorem MEAN VALUE THEOREM there is at least one number c in (a, b) 1 f(x) is continuous on [a, b] 2 f(x) is differentiable on (a, b)

  7. Sec 4.2: The Mean Value Theorem F122

  8. Sec 4.2: The Mean Value Theorem MEAN VALUE THEOREM there is at least one number c in (a, b) 1 f(x) is continuous on [a, b] 2 f(x) is differentiable on (a, b)

  9. Sec 4.2: The Mean Value Theorem F093

  10. Sec 4.2: The Mean Value Theorem F092

  11. Sec 4.2: The Mean Value Theorem F121

  12. Sec 4.2: The Mean Value Theorem Example from inverse trig MEAN VALUE THEOREM there is at least one number c in (a, b) 1 f(x) is continuous on [a, b] 2 f(x) is differentiable on (a, b) Mathematical Consequences COROLLARY 1 COROLLARY 2