Question
Find an equation of the straight line tangent to the given curve at the point indicated.$$y=\frac{1}{x} \text { at }\left(a, \frac{1}{a}\right)$$
Step 1
The function is $y=\frac{1}{x}$, which can be rewritten as $y=x^{-1}$. Using the power rule for differentiation, the derivative of $y$ with respect to $x$ is $y'=-x^{-2}$ or $y'=-\frac{1}{x^2}$. Show more…
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