Estimate Instantaneous Rate of Change from graph

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In this example problem, we are given a graph and asked to estimate the instantaneous rate of change at a specified x-value on the graph. We do so by drawing in the tangent line to the graph at that point and calculating its slope.

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is there a way to do this without eyeballing the Tan Line? i just guessed on the tan line and got it right but that doesnt feel super reliable

jmat
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Thanks so much, this was really helpful.

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