Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.)

f(x) =8x²+3x

Step 1:

f(x+h)

=

Simplify by either factoring completely or expanding completely depending on which is more appropriate.Step 2:

f(x+h)f(x)

=

Simplify by either factoring completely or expanding completely depending on which is more appropriate.Step 3:

f(x+h)f(x)

h

=

16x+8h+3

Great work!Step 4:

f'(x) =limh0

f(x+h)f(x)

h

=

Check which variable(s) should be in your answer.