Question
Find $d y / d x$ by implicit differentiation and evaluate the derivative at the given point.$$y^{2}=\ln x, \quad(e, 1)$$
Step 1
Using the chain rule, the derivative of $y^{2}$ is $2y\frac{dy}{dx}$ and the derivative of $\ln x$ is $\frac{1}{x}$. So, we have: \[2y\frac{dy}{dx} = \frac{1}{x}\] Show more…
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