Question 58211
f(x)=3x^2-5x+2, find [f(x+h)-f(x)}/h 
f(x+h)= 3(x+h)^2-5(x+h)+2
=3x^2+6hx+3h^2-5x-5h+2
=(3x^2-5x+2) +6hx+3h^2-5h
Then f(x+h)-f(x) = 6hx+3h^2-5h
And finally [f(x+h)-f(x)]/h = [6hx+3h^2-5h)/h
=6x+3h-5
Cheers,
Stan H.