# Math

posted by .

if f(x) = 2x^2 + 5x,
find f(x+h) - f(x) / h and simplify.

I started to do this but then got lost.
2(x+h)^2 + 5x + 2x^2 + 5x all over h

4x^2 + 4xh + h^2 + 5x + 2x^2 + 5x

• Math -

2[x^2 + 2 x h + h^2] + 5x + 5 h

2 x^2 +4 xh + 2 h^2 + 5 x + 5 h
-2x^2 -5x

= 4 x h + 2 h^2 + 5 h

divide by h
4 x +2 h + 5

check - limit as h--> 0 should be derivative
4 x^2 + 5 yes check

• Math -

Well the answer choices were
1) 4x + 5xh + h^2 + 5h
2) 4x + 5h + 4h^2
3) 4x + 5 + 4h^2 + 5h
4) None of the above

So the answer is none of the above correct?

• Math -

The answer is 4x^2 + 5 correct?

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