Calculus 1

Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 1+2x− x^2, (f(4+h)-f(4))/h

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  1. what's the trouble, forgot your Algebra I already?

    f(4+h) = 1+2(4+h)-(4+h)^2 = -7-6h-h^2
    f(4) = 1+2(4)-4^2 = -7

    f(4+h)-f(4) = -6h-h^2

    Now divide all that by h and you have

    -6-h

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