► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Sometimes you can use linear approximation to estimate roots. This is a common question type in calculus classes. You'll be asked to estimate the value of a square root or cube root or fourth root, etc., of some whole number. Usually the whole number will be very close to another whole number that has an exact square or cube or fourth root.
Because there's a number close to the one you're interested in that has an exact root, you can use the exact value to help you estimate the value of your root. You'll just need to find each piece of the linear approximation formula, plug everything in, and then simplify to the estimated value.
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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: derivatives, ,calculus,calculus expert,educational,Krista King,expert,estimate root,linear approximation,estimating roots
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