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.
- Constant Derivatives and the Power Rule
- Derivatives of Sums and Differences
- Quotient Rule and Higher Derivatives
Practice: Evaluate Limits using Tables
Real World: Death Watch