Final answer to the problem
Step-by-step Solution
Specify the solving method
Multiply $1$ times $-1$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\ln\left(-\frac{1}{2}\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of ln((1*-)/2) using the definition. Multiply 1 times -1. Divide -1 by 2. Find the derivative of \ln\left(-\frac{1}{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{1}{2}\right). Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms \ln\left(-\frac{1}{2}\right) and -\ln\left(-\frac{1}{2}\right).