Final answer to the problem
Step-by-step Solution
Specify the solving method
Add the values $2$ and $5$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\ln\left(\frac{7}{2}\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of ln((2+5)/2) using the definition. Add the values 2 and 5. Divide 7 by 2. Calculating the natural logarithm of \frac{7}{2}. Find the derivative of \ln\left(\frac{7}{2}\right) using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is \ln\left(\frac{7}{2}\right). Substituting f(x+h) and f(x) on the limit, we get.