Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the derivative of $15-8a$ 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 $15-8a$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{15-8\left(a+h\right)-\left(15-8a\right)}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of -6a+1=15-8a using the definition. Find the derivative of 15-8a 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 15-8a. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -8 by each term of the polynomial \left(a+h\right). Multiply the single term -1 by each term of the polynomial \left(15-8a\right). Add the values 15 and -15.