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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

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3 answers

  1. 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

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  2. 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?

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  3. The answer is 4x^2 + 5 correct?

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