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[DOC File]AP Calculus Assignments: Derivative Techniques
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AP Calculus HW: Derivative Techniques - 6. 1. The functions f and g are differentiable for 1 ( x ( 4. The values of the functions and their derivatives at selected points are given in the table below. a. Evaluate . b. Evaluate . c. Evaluate . d. Write an equation for the line …
find derivative from table

[DOC File]Lesson Plan #6
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Sep 07, 2011 · Recall the definition of the derivative: Sometimes we are given a table of values instead of a function. Without the function, we can’t calculate an exact value of the derivative, but we can get an estimate of the derivative using the difference quotient . For example, take a look at the table below.
finding derivatives from a table

[DOC File]Extrema and the Mean Value Theorem
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The Second Derivative Test cautions us that this may be the case since at at . So now we wish to use all that we have learned from the First and Second Derivative Tests to sketch graphs of functions. The following table provides a summary of the tests and can be a useful guide in sketching graphs.
find the derivative table

[DOC File]New Chapter 3
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Since the second derivative is a quadratic and is defined for all values of x, we just need to find where the second derivative equal to zero. To determine the intervals of concavity we need to plot these values of x on a second derivative chart and choose test points for each interval as shown in figure 6.15 below.
estimate derivative from table

[DOC File]Below are tables of values for given types of functions
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The table below represents values on the graph of a cubic polynomial function, h(x). Use the table to complete exercises 22 – 24. x –3 –2 –1 0 1 2 4 h(x) –24 0 8 6 0 –4 18 22. Between which two values of x does the Intermediate Value Theorem guarantee a value of x such. that h(x) = 0? Explain your reasoning. 23. Estimate the value of .
table of common derivatives

[DOC File]Lesson Plan #6
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Sep 07, 2011 · -1 -5 1 3 0 0 -2 0 1 1 1 0 -3 0 0.5 2 5 -1 5 2 The table gives values of the differentiable functions and and of their derivatives and , at selected values of . If , what is the slope of the graph of at .
derivatives using tables

[DOC File]For #1-2, find the derivative of the function
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For what values of x, , does f have a relative maximum? A relative minimum? Justify your answer. ... The function f and its derivatives have the properties indicated in the table below. ... This is the graph of the derivative of f, not the graph of f. The figure above shows the graph of , the derivative of a function f. ...
estimating derivatives from tables

[DOC File]New Chapter 3
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Table 5.5 The Chain For Exponential functions . If exists, and, then If exists, and with , then Note that the derivative of is a special case of the derivative of , because . (Example 5.13 Find the derivatives:
derivatives from tables

[DOC File]AP Calculus Free-Response Questions
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The function f and its derivative have the properties indicated in the table above, where DNE indicates that the derivatives of f do not exist at x = 2. a. For 0 < x < 4, find all values of x …
find derivative from table

[DOC File]Derivatives - UH
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Here’s a table of values: inputs (x) outputs (y) -3 9 -2 4 -1 1 0 0 1 1 2 4 3 9 4 16 5 25 The average rate of change from (3 (initial) to (1 is The average rate of change from (1 (initial) to 4 is ... The derivative is a calculated quantity that tells you the slope of the tangent line to any point on the graph. The definition of a derivative ...
finding derivatives from a table

Derivative from a table of values