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OpenStudy (anonymous):
Find the derivative of f(x) = 4x + 7 at x = 5.
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OpenStudy (anonymous):
dy/dx 4x + dy/dx 7
OpenStudy (anonymous):
4+0 = 4 so f'(5) =4
OpenStudy (anonymous):
meaning that f(x) is a linear function. With same slope aka speed at all times and no acceleration. that speed and slope being 4 at 5 it is 4 and actually at any x the slope aka speed is 4
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