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help-derivative-ex

0 votes

asked May 3, 2015 in CALCULUS by anonymous

2 Answers

0 votes

(8)

Step 1:

The function is .

Increasing-Decreasing Test:

1) If image is increasing at image.

2) If image is decreasing at image.

2) If image is inconclusive at image.

Apply derivative on each side with respect to .

.

Step 2:

Determine whether the function is increasing, decreasing or not changing at image.

Substitute image in .

image

image

image

image.

The function is increasing at image.

Solution:

is increasing at image.

answered May 4, 2015 by Sammi Mentor
edited May 4, 2015 by Sammi
0 votes

(9)

Step 1:

The function is .

Increasing-Decreasing Test:

1) If image is increasing at image.

2) If image is decreasing at image.

2) If image is inconclusive at image.

Apply derivative on each side with respect to .

Apply product rule in derivatives: .

image

.

Step 2:

Determine whether the function is increasing, decreasing or not changing at .

Substitute in .

.

.

The function is not changing at .

Solution:

The function is not changing at .

answered May 4, 2015 by Sammi Mentor

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