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► My Derivatives course: https://www.kristakingmath.com/deriva... How to use the definition of the derivative to find the derivative of a function at a point. Remember that the derivative at a particular point is same thing as the instantaneous rate of change at that same point, and it's also the slope of the line that's tangent to the function at that point. You can build the definition of the derivative from the equation of the secant line, which is also the average rate of change, or the difference quotient. The secant line is made from two points that are separate from each other, but as you bring those points closer and closer together, the secant line becomes the tangent line. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // / kristakingmath TWITTER // / kristakingmath INSTAGRAM // / kristakingmath PINTEREST // / kristakingmath GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-...