Find and simplify the derivative of y = ln sech x.

Name: Find and simplify the derivative of y = ln sech x.
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Quizplus · Accepted Answer

The derivative of $y = \ln(\text{sech } x)$ can be found using the chain rule. The derivative of $\ln(u)$ is $\frac{1}{u}\frac{du}{dx}$, and the derivative of $\text{sech } x$ is $-\text{sech } x \tanh x$. Therefore, the derivative of $y$ with respect to $x$ is $\frac{-\text{sech } x \tanh x}{\text{sech } x} = -\tanh x$.

Find and Simplify the Derivative of Y = Ln Sech