Transcript Hot Seat - Math Kanection

Tic-Tac-Toe
Using the Graphing Calculator for
Derivatives
Rules
Each Pair has a Tic-Tac-Toe Board
One problem will be displayed. Each
person will do the problem.
First player to get correct answer on
his/her calculator gets to mark the
board.
Goal: To win as many TIC-TACTOES as possible
Problem 1
Find f ’(4)
f (x) =
2
3x
+ 4x - 2
Problem 2
Find f ’(-1)
f (x) = sin x
Problem 3
Find f ’(3)
f (x) = |x – 3|
Problem 4
Find
y=
dy at x = 4
dx
2
x
+ 4x - 2
Problem 5
Find
dy at x = 1
dx
y =  3x – 2
Problem 6
Find
dy at x = 7
dx
y=x–4
Problem 7
Sketch the graph of the
derivative of
f (x) =
3
x
+
2
4x
+5
Problem 8
Find the equation of the
tangent line for f (x) at x = 3
f (x) =
3
4x
+
2
x
–1
Problem 9
Find the equation of the
tangent line for f (x) at x = -1
f (x) =
4
x
+
2
x
–1
Problem 10
Find the equation of the
tangent line for f (x) at x = 0
f (x) =
2
x
+ 5x – 1
Problem 11
Find the equation of the
tangent line in point-slope
form for f (x) at x = 5
f (x) =
3
4x
+
2
x
–1
Problem 12
Find the equation of the
tangent line in point-slope
form for f (x) at x = -3
f (x) =
3
2x
+
2
x
+x
Problem 13
Find the equation of the
tangent line in point-slope
form for f (x) at x = 1
f (x) =
2
5x
–x–1
Problem 14
Find the equation of the
tangent line in point-slope
form for f (x) at x = -2
f (x) =
2
4x
+x
Problem 15
Find the equation of the
tangent line in point-slope
form for f (x) at x = 
f (x) = sin x + cos x