let f(x) = 4x^2 +2x +1. Find f(x+h) - f(x).

1 answer

4(x+h)^2 + 2(x+h) + 1 - (4x^2+2x+1)
= 4x^2+8hx+4h^2+2x+2h+1 - 4x^2 - 2x - 1
= 8hx + 2h + 4h^2
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