Question
Comparing Functions Consider $f(x)=\tan ^{2} x$ and $g(x)=\sec ^{2} x .$ What do you notice about the derivatives of $f$ and $g ?$ What can you conclude about the relationship between $f$ and $g ?$
Step 1
Step 1: First, we need to find the derivatives of the given functions $f(x)$ and $g(x)$. Show more…
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Consider $f(x)=\tan ^{2} x$ and $g(x)=\sec ^{2} x .$ What do you notice about the derivatives of $f(x)$ and $g(x) ?$ What can you conclude about the relationship between $f(x)$ and $g(x) ?$
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