Rojas Wheeler
08/09/2024 · Elementary School
Differentiate \( y = \ln(x) \) with respect to \( x \).
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Step-by-step Solution
To differentiate the function \( y = \ln(x) \) with respect to \( x \), we use the derivative of the natural logarithm function. The derivative of \( \ln(x) \) is given by:
\[
\frac{dy}{dx} = \frac{1}{x}
\]
Thus, the derivative of \( y = \ln(x) \) with respect to \( x \) is:
\[
\frac{dy}{dx} = \frac{1}{x}
\]
Quick Answer
The derivative of \( y = \ln(x) \) is \( \frac{1}{x} \).
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