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Classwork: First Derivative Test

Last updated over 4 years ago
7 questions
Question 1: For full marks, all work must be shown.
Given the function y = {x^3}-{5x^2}+{7x}-{5}

2

a) Determine the x-coordinate of the turning points.

3

b) Determine the corresponding y value of the turning points.

Question 2: For full marks, all work must be shown.
Given the function f(x) = {5}-{6x}-{3x^2}
2

a) Find the coordinates of the turning point(s)

1

b) List the intervals in which f(x) is increasing

1

c) List the intervals in which f(x) is decreasing

2

d) Determine the nature of the turning point(s)

Question 3: For full marks, all work must be shown.
Given the function f(x) = {2x^3}-{9x^2}-{24x}+{11}
4

a) Find the coordinates of the turning point(s)