Solve using the difference quotient? f(x) = 5x + 3. Also, what are the steps to solving it?

f(x) = 5x + 3

f(x + h) - f(x) .... 5(x + h) + 3 - (5x + 3)
----------------- = --------------------------------
..... h ............. .................. h

.. 5x + 5h + 3 - 5x - 3
= --------------------------
.............. h

... 5h
= -----
.... h

= 5

Answer:
5

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f ` (x) is given by :-

f ` (x) is given by :-
lim [ f (x + h) - f (x) ] / h
h-->0

5 (x + h) + 3 - 5x - 3
------------------------
h

5 h
--------- = 5
h

f ` (x) = 5