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WorksheetsApplications of Derivative Quiz #1
Total questions: 10
Worksheet time: 14mins
The tangent line passing through the critical points are parallel to the x-axis.
True
False
Neither
The tangent line passing through the critical points are parallel to the y-axis.
True
False
Neither
Find the maximum(s) of the function f(x) = sin x + cos2 x on 0 < x < 2π.
1
-1
5/4
No local max
Find the minimum(s) of the function f(x) = sin x + cos2 x on 0 < x < 2π.
1
-1
5/4
No local min
What are the critical points for f(x) on 0 < x < 2π.
π/2
(3π)/2
π/6
(5π)/6
0
Find the critical points of f(x) = 2x3-15x2+24x+7.
x = 0
x = 1
x = 4
x = 6
Find the critical point(s) of f(x) = 1 - (x - 1)2/3.
x = -1
x = 0
x = 1
x = 2
If f'(c) > 0, f is __ on that interval.
increasing
decreasing
constant
none of these
If f'(c) < 0, f is __ on that interval.
increasing
decreasing
constant
none of these
Mark the test points that can be used to determine the intervals where the function f(x) = x3 - 3x2 -24x + 32 is increasing and decreasing.
-3
0
4
5
