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Maths quiz 13

# Maths quiz 13 - Sketching polynomial functions Using the...

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Sketching polynomial functions Using the first derivative Using the second derivative Using the original function Example: x^3 – 6x^2 + 1 First, find the formulas for the first and second derivatives. Next, analyze the first derivative. Compare your results to the ones you see here. If you have forgotten how to analyze the first derivative, refer to Lesson 3 in Module 8.2. In fact, complete details for this function can be found in Example 1 for that lesson. Find all possible relative extrema: Now, set up an x-axis that is divided into three pieces by the numbers 0 and 4 and use a test value in each piece.

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Next, analyze the second derivative. Compare your results to the ones you see here. If you have forgotten how to analyze the second derivative, refer to Lesson 3 in Module 8.3. Again, complete details for this function can be found in Example 1 for that lesson. Find all possible inflection points: Now, set up an x-axis that is divided into two pieces by the number 2 and use a test value in each piece.
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