Question
Based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the average rate of change of $f(x)=\cos ^{-1} x$ from $x=-\frac{1}{2}$ to $x=\frac{1}{2}$
Step 1
We are given that $x_1 = -\frac{1}{2}$ and $x_2 = \frac{1}{2}$. So, we need to find $f(x_1)$ and $f(x_2)$. We have $f(x_1) = \cos^{-1}(-\frac{1}{2}) = \frac{2\pi}{3}$ and $f(x_2) = \cos^{-1}(\frac{1}{2}) = \frac{\pi}{3}$. Show more…
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