Calculus-Deriative Question?

Question

Use the definition of the derivative ( 4 step process) to find the rate of change for the function f(x)=5x+2
Show your work

Answer 1

f(x) = 5x + 2

Take derivative each side.

f'(x) = (d/dx)(5x + 2)

f'(x) = (d/dx)(5x) + (d/dx)2

General Derivative Formulas: (d/dx)c = 0 where c is constant and (d/dx)(x) = 1

f'(x) = 5 + 0 = 5

Therefore f'(x) = 5.