Given , determine .
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Step 1: Find the Derivative This derivative requires us to apply the power rule. |
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Step 2: Plug the given value into the equation. In this example we are being asked to plug 3 in for x . |
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Final Result: The value of the derivative, , of the function at x = 3 is 9 .
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Meaning: – The instantaneous rate of change of at x = 3 is 9 .
– The slope of at x = 3 is 9 .
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– The slope of the tangent line to at x = 3 is 9 . |
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