Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the derivative of $4n$ 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 $4n$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{4\left(n+h\right)-4n}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 6n^2-1=4n using the definition. Find the derivative of 4n 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 4n. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 4 by each term of the polynomial \left(n+h\right). Simplifying. Simplify the fraction \frac{4h}{h} by h.