CheckWork Go Home Go Home 10 Point Question What is the limit definition for the derivative of a function?
True or False: If a function is differentiable, then it is continuous. 20 Point Question CheckWork Go Home Go HomeTrue
D 30 Point Question Which of the following is not a valid interpretation of f’(t)? A)The instantaneous rate of change of f(t) B) The slope of the tangent to f(t) C) The velocity, if f(t) gives the position as a function of time D) The area under f(t) CheckWork Go Home Go Home
Next category please! 40 Point Question Daily Double: the team picking this question gets 80 points! CheckWork Go Home Go Home
What is the difference between the two limits? 50 Point Question CheckWork Go Home Go Home f’(a) = slope of a function at a point. f’(x) = a function where the output is the slope of f(x) at any particular point.
There will be no derivative if the function is discontinuous, has a sharp corner or has a vertical tangent line at the point. 10 Point Question In general, at what points does a function fail to have a derivative? CheckWork Go Home Go Home
Daily Double: The team picking this question gets 40 points! 20 Point Question CheckWork Go Home Go Home
No. Limit as x -> 5 is 3/8 (not 0.5) Is this function continuous at x = 5? 30 Point Question CheckWork Go Home Go Home
40 Point Question What value must f(D) be to make the graph continuous? Check Work Go Home Go Home3
50 Point Question What value for c makes the function continuous at x = 3? CheckWork Go Home Go Home c = 5