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Mathematics, 16.11.2019 22:31 onepunchman20
Consider the function f(x) = x3 − 4x2 + 2. calculate the limit of the difference quotient at x0 = 3 for f(x).
f'(x) = 3x² - 8x
f'(3) = 3(3²) - 8(3) = 3
3
real question:
part a: find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit you found in part a.
part b: graph the function f(x) and the line you identified in part b. how do the graphs relate to each other? what does the slope of the line represent about the function at the given point?
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Consider the function f(x) = x3 − 4x2 + 2. calculate the limit of the difference quotient at x0 = 3...
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