Sketching of a function knowing its derivative
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The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
x -1 -0.75 -0.50 -0.25
f'(x) -10 -3.2 -0.5 0.8
x 0 0.25 0.50 0.75 1
f'(x) 5.6 3.6 -0.2 -6.7 -20.1
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Solution Summary
The solution provides detailed drawings and explanations in Word and Excel files.
Solution Preview
Please see the attached files.
After sketching f' in the attached excel file, we can observe:
- From x=-1 to x=-0.5, the ...
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