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precalculas

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Given the function f(x)= 4+4x^2, calculate the following values:
[f(a+h)-f(a)]/h

  • precalculas -

    You will have to pick a value of a and of h. If you want a general expression for
    [f(a+h)-f(a)]/h with that function, it would be
    [4(a+h)^2 - 4a^2]/h
    = (8ah +h^2)/h
    = 8a +4h

    Note that it approaches a constant 8a when h->0
    That is called the derivatve of the fucntion at a.

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