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Classwork: First Derivative Test

Last updated about 5 years ago

7 Nsɛmmisa

Question 1: For full marks, all work must be shown.

2

3

Question 2: For full marks, all work must be shown.

Given the function f(x) = {5}-{6x}-{3x^2}

2

1

1

2

Question 3: For full marks, all work must be shown.

Given the function f(x) = {2x^3}-{9x^2}-{24x}+{11}

4

Given the function y = {x^3}-{5x^2}+{7x}-{5}

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1.

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

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2.

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

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3.

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

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4.

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

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5.

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

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6.

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

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7.

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