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Classwork: First Derivative Test
By Carrie Kibblewhite
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Last updated over 4 years ago
7 questions
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2
3
2
1
1
2
4
Question 1: For full marks, all work must be shown.
Given the function y = {x^3}-{5x^2}+{7x}-{5}
Question 1
1.
a) Determine the x-coordinate of the turning points.
visibility
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Question 2
2.
b) Determine the corresponding y value of the turning points.
visibility
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Question 2: For full marks, all work must be shown.
Given the function f(x) = {5}-{6x}-{3x^2}
Question 3
3.
a) Find the
coordinates
of the turning point(s)
visibility
View drawing
Question 4
4.
b) List the intervals in which f(x) is increasing
visibility
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Question 5
5.
c) List the intervals in which f(x) is decreasing
visibility
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Question 6
6.
d) Determine the nature of the turning point(s)
visibility
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Question 3: For full marks, all work must be shown.
Given the function f(x) = {2x^3}-{9x^2}-{24x}+{11}
Question 7
7.
a) Find the
coordinates
of the turning point(s)
visibility
View drawing