Link Derivative X
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Communicating and Connecting What We Know About the Derivative of a Function
Verbal
Graph
Given the function:
Use the definition of derivative to determine f’(x).
f’(x) =
Table
1.
Analysis
Determine the average rate of change (ARoC) of f(x) over the interval [1, 7].
2. Graph f’(x) on the axes above. 3. Determine the slope of f(x) at x = 3.
4. Determine the equation of the tangent line of f(x) at x = 3.
5. Determine the equation of the normal line of f(x) @ x = 3.
6. What does the derivative of f(x) tell you about this function?
Verbal
Graph
Given the function:
Use the definition of derivative to determine f’(x).
f’(x) =
Table
1.
Analysis
Determine the average rate of change (ARoC) of f(x) over the interval [1, 7].
2. Graph f’(x) on the axes above. 3. Determine the slope of f(x) at x = 3.
4. Determine the equation of the tangent line of f(x) at x = 3.
5. Determine the equation of the normal line of f(x) @ x = 3.
6. What does the derivative of f(x) tell you about this function?
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