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Unit 5

5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

1 min readjanuary 22, 2021

Sumi Vora


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What is the First Derivative Test?

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(531).png?alt=media&token=ec7ef2b3-7322-4e30-889b-4d762f64a72d

Finding Relative Extrema Using the First Derivative Test

Next, calculate the relative maximum and minimum values by plugging your critical values into f(x). ✍

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreen%20Shot%202021-01-17%20at%2010.19-LtIXR0tUP1xB.png?alt=media&token=5215ddbc-a2cf-4665-ba05-ccaefd0d1e03

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(537).png?alt=media&token=c9ad4d78-f5e6-4e3b-9095-a8e10f2aab9f

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(538).png?alt=media&token=5e5dea8c-5325-4043-960a-00611d12b08b

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(541).png?alt=media&token=c0669d53-cd16-4572-a425-04920299a64f

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