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K12 LibreTexts

4: Differentiation - Slope Models using Derivatives

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  • Did you know that a derivative is a tool that you can use when working with slope, tangents and functions? First, let's think about why a derivative would be useful. Do you remember how to find the slope of a line? Well, if you think back to Algebra, you could find the slope of a line a couple of different ways - one way is through an equation, but you could also figure out the slope of a line by using two points. But what if you only had one point to work with? What if you wanted to figure out the slope of a tangent line at that one point? Well, this is the perfect time to use a derivative. A derivative makes it possible for you get as close as you can to that slope. Take a look.

    Here are some additional resources that provide a more in-depth exploration of this topic.

    Practice: Evaluate Limits using Tables

    Real World: Death Watch

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