Question

You are given the following function.
f(x)= (8+x)/(1-8x)
(a) Find the derivative of the function using the definition of derivative.
(b) Give the domain of the function.
c) Give the domain of derivative of function?

Answer 1

use the quotient rule
dy/dx = [(1-8x)(1) - (8+x)(-8)]/(1-8x)^2
= ... (you simplify it)

b) domain of f(x) is any real number, x not equal to 1/8
c) same as b)