Question
Finding Arc Length In Exercises $3-16$ , find the are length of the graph of the function over the indicated interval.$$y=\frac{x^{4}}{8}+\frac{1}{4 x^{2}}, \quad[1,3]$$
Step 1
The derivative of $y=\frac{x^{4}}{8}+\frac{1}{4 x^{2}}$ is given by: $$ y'=\frac{d}{dx}\left(\frac{x^{4}}{8}+\frac{1}{4 x^{2}}\right)=\frac{4x^{3}}{8}-\frac{1}{2x^{3}}=\frac{x^{3}}{2}-\frac{1}{2x^{3}} $$ Show more…
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