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26 September, 02:24

For the function f (x) = 10x^2+x, evaluate and simplify the expression: f (a+h) - f (a) / h?

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  1. 26 September, 02:53
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    F (x) = 10x^2 + x

    (f (a+h) - f (a)) / h

    = ([10 (a+h) ^2 + (a+h) ] - [10a^2 + a]) / h

    = (10a^2 + 20ah + 10h^2 + a + h - 10a^2 - a) / h

    = (20ah + 10h^2 + h) / h

    = 20a + 10h + 1
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