Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the derivative of $4x-1>5$ 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 $4x-1>5$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Cancel like terms $4\left(x+h\right)-1>5$ and $- 4x-1>5$
Zero divided by anything is equal to zero
The limit of a constant is just the constant