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3 years ago

8

Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 20 (a) Find the open intervals on which f '(

x) is increasing or decreasing.

1 answer:

Alenkasestr [34]3 years ago

6 0

Answer:

f'(x) is increasing in the open interval (-1/2, +∞), and it is decreasing in the interval (-∞, -1/2).

Step-by-step explanation:

f'(x) is a quadratic function with positive main coefficient, then it will be decreasing until the x-coordinate of its vertex and it will be increasing from there onwards. The x-coordinate of the vertex is given by the equation -b/2a = -1/2. Hence

- f'(x) is incresing in the interval (-1/2, +∞)

- f'(x) is decreasing in the interval (-∞, -1/2)

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<h3>How to determine the value of angle Z?</h3>

The given parameters are:

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So, we have the following angle equations

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Alexxandr [17]

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natali 33 [55]

Line 1 and Line 4 are parallel lines

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