Find the derivative of f(x). f(x) = ln(x) f′(x) = ______

Identify function: Identify the function for which we need to find the derivative. f(x) = ln(x)Recall derivative rule: Recall the derivative rule for the natural logarithm function. The derivative of ln(x) with respect to x is 1/x. f′(x) = d/dx(ln(x)) = 1/xCheck for errors: Check for any possible math errors in the differentiation process. Since the derivative of ln(x) is a standard result and we have applied it correctly, there are no math errors.

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Find the derivative of $f(x)$ . $\newline$ $f(x) = \ln(x)$ $\newline$ $f'(x) =$ ______

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Math Problems

Calculus

Find derivatives of logarithmic functions

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Q. Find the derivative of

f(x)

\newline

f(x) = \ln(x)

\newline

f'(x) =

______

Identify function: Identify the function for which we need to find the derivative. $f(x) = \ln(x)$
Recall derivative rule: Recall the derivative rule for the natural logarithm function. The derivative of $\ln(x)$ with respect to $x$ is $\frac{1}{x}$ . $\newline$ $f'(x) = \frac{d}{dx}(\ln(x)) = \frac{1}{x}$
Check for errors: Check for any possible math errors in the differentiation process. Since the derivative of $\ln(x)$ is a standard result and we have applied it correctly, there are no math errors.