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Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

f'(0)
f'(1)
f'(2)
f'(3)
f'(4)
f'(5)

Use the given graph to estimate the value of each derivative. (Round all answers to-example-1
User ZaldronGG
by
8.6k points

1 Answer

4 votes

The derivatives of the function are approximately 0 at each point.

Image prompt: Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

f'(0)

The slope of the tangent line to the graph at x = 0 is 0. Therefore, f'(0) is approximately 0.

f'(1)

The slope of the tangent line to the graph at x = 1 is 0. Therefore, f'(1) is approximately 0.

f'(2)

The slope of the tangent line to the graph at x = 2 is 0. Therefore, f'(2) is approximately 0.

f'(3)

The slope of the tangent line to the graph at x = 3 is 0. Therefore, f'(3) is approximately 0.

f'(4)

The slope of the tangent line to the graph at x = 4 is 0. Therefore, f'(4) is approximately 0.

f'(5)

The slope of the tangent line to the graph at x = 5 is 0. Therefore, f'(5) is approximately 0.

Answers:

f'(0) = 0

f'(1) = 0

f'(2) = 0

f'(3) = 0

f'(4) = 0

f'(5) = 0

User Annena
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