For this case we have the following function:
 [tex]f(x) = 4x + 7 
[/tex]
 Deriving the function we have:
 [tex]f '(x) = 4 
[/tex]
 We now evaluate the function for the value of x = 5.
 We have then:
 [tex]f '(5) = 4 
[/tex]
 Answer:
 the derivative of f(x) = 4x + 7 at x = 5 is:
 4