6.5 Average Value of a Function: Difference between revisions
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== Lecture notes == | == Lecture notes == | ||
1. Average Value: | 1. Average Value: | ||
<math> | <math> | ||
f_{\text{avg}} = \frac{1}{b-a}\int_{a}^{b}f(x)\,dx | f_{\text{avg}} = \frac{1}{b-a}\int_{a}^{b}f(x)\,dx | ||
</math> | </math> | ||
2. Average Rate of Change: | |||
<math> | |||
slope = m = \frac{f(b)-f(a)}{b-a} | |||
</math> | |||
https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx | https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx |