Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the derivative of $\frac{12}{5}$ 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 $\frac{12}{5}$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{\frac{12}{5}-\frac{12}{5}}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 12/5 using the definition. Find the derivative of \frac{12}{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 \frac{12}{5}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{12}{5} and -\frac{12}{5}. Zero divided by anything is equal to zero. The limit of a constant is just the constant.