Calculus Critical Points Jeopardy Graphic Extrema Derivatives Critical Points Increasing/ Decreasing Maximum/ Minimum 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50
Jan 02, 2016
Calculus Critical Points Jeopardy
Graphic Extrema
Derivatives Critical Points Increasing/ Decreasing
Maximum/ Minimum
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
Max/ Min – 10 pointsUse the graph below to state the Absolute Extrema.
Max/Min – 20 pointsState the x values of Relative Maximum.
Max/Min – 30 pointsState the x values of Relative Minimum
Max/Min – 40 pointsState the x values of ALL Relative Extrema.
Max/Min – 50 pointsState the x values of Relative & Absolute Extrema.
Derivative – 10 points
f( x) = x3 – 6x2 + 12x – 5
f( x) = ?? Factored completely!
Derivatives – 20 points
f( x) = 4x2 – 10x + 14f ‘( 4 ) = ?
Derivative – 30 pointsF(x) = 3x4 – 4x3 -36x2
f ’(x) = 0 when x = ???
Derivatives – 40 pointsUse the Chain rule to take derivative.(Factor for additional 20 points)
Y = (2x3 – 6x2 ) 4
Y ‘ = ?
Derivatives – 50 pointsCalculate and simplify the derivative.
Critical Points – 10 points
State the critical point of f(x) = 4x2 – 16x - 12
Critical Points – 20 points
State the 2 critical points of
f(x) = x3 – 12x + 7
Critical Points – 30 points
State the 2 critical points of f(x) = 2x3 + 3x2 – 12x + 8
Critical Points – 40 points
State the critical points of f(x) = x4 – 2x2 + 1
Critical Points – 50 points
State the critical points of f(x) = 3x4 + 16x3 + 18x2 - 12
Increasing/ Decreasing – 10 pointsFor the curve below state the decreasing intervals
Increasing/ Decreasing – 20 pointsFor the curve below [-2,2] state the increasing intervals.
Increasing/ Decreasing – 30 points
Use the sign table below to state the Increasing intervals.
Increasing/ Decreasing – 40 points
f( x) = x3 + 3x2 + 4State the decreasing interval
Increasing/Decreasing – 50 points
To the right of a relative maximum of a continuous function, the curve is_________ (increasing, decreasing, or unable to determine)
Maximum/ Minimum – 10 points
If the graph of a continuous function changes from increasing to decreasingThen a ____________ has occurred.(maximum, minimum, or unable to determine)
Maximum/Minimum– 20 points
For a continuous function,If f ‘ (c ) < 0 and f ‘ (c ) > 0 thenF (c ) is a _______.(Maximum, minimum, or Unable to determine)
Maximum/Minimum – 30 points
Use the sign table to state the x value ofthe maximum point of the continuous function
Maximum/Minimum – 40 points
State the x values of the continuouscurve’s minimums.
Maximum/ Minimum – 50 points
State the x value of the relative maximumpoint for the function,
Y = 2x3 + 3x2 – 36x