► My Derivatives course: https://www.kristakingmath.com/derivatives-course
When you're finding the equation of the tangent line, the most important thing to remember is that you're looking for the equation of a line, which means you'll want to use the point-slope formula for the equation of a line.
In order to use the point-slope formula, you'll of course need a point and a slope. You've probably already been given a point, because you've been asked to find the equation of the tangent line at a particular point. Which means that all you need to do is find the slope.
In order to find the slope of the tangent line at the given point, all you need to do is take the derivative of the original function, and then evaluate the derivative at the given point. Doing so will give you a constant value, and this is the value you'll use for the slope.
Therefore, to write the equation of the tangent line, just take the slope and the point and plug them into the point-slope formula for the equation of the line. Simplify, and you've got the equation of the tangent line to the function at the given point.
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If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
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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
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Tagged under: educational,calculus expert,Krista King,tangent line,expert,equation tangent line, ,tangent line equation,calculus,derivatives
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