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On any continuous function between points a and b there exists some point(s) c where the tangent line at this point has the same slope as the secant line between a and b
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Let f be a function that satisfies 1) f is continuous on [ a, b ] 2) f is differentiable on [ a, b] Then there is a number c in [ a, b] such that or
![Let f be a function that satisfies 1) f is continuous on [ a, b ] 2) f is differentiable on [ a, b] Then there is a number c in [ a, b] such that or](http://images.slideplayer.com./32/9803142/slides/slide_4.jpg "Let f be a function that satisfies 1) f is continuous on [ a, b ] 2) f is differentiable on [ a, b] Then there is a number c in [ a, b] such that or")
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Find all values of c that satisfy the mean value theorem for on [ 0, 2]
![ Find all values of c that satisfy the mean value theorem for on [ 0, 2]](http://images.slideplayer.com./32/9803142/slides/slide_5.jpg " Find all values of c that satisfy the mean value theorem for on [ 0, 2]")
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Two stationary patrol cars equipped with radar are 5 miles apart on a highway. A truck passes the first car and is clocked at 55 mi/hr. Four minutes later it passes the second car and is clocked at 50 mi/hr. Prove that the truck must have exceeded the speed limit (55) at some time during these 4 minutes.
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