Differentiate.
$f (x) = 13 \ln x$
$f^{'} (x) =$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The derivative of the function $f (x) = 13 \ln x$ is $f^{'} (x) = \frac{13}{x}$ .

Steps

Step 1 ：Differentiate the function $f (x) = 13 \ln x$ .

Step 2 ：The derivative of a function in the form of $f (x) = a \ln x$ where $a$ is a constant is given by $f^{'} (x) = \frac{a}{x}$ .

Step 3 ：In this case, $a = 13$ , so the derivative of the function $f (x) = 13 \ln x$ should be $f^{'} (x) = \frac{13}{x}$ .

Step 4 ：Final Answer: The derivative of the function $f (x) = 13 \ln x$ is $f^{'} (x) = \frac{13}{x}$ .