# Let #f(x)=x^2+6x#, how do you find the point on the graph of f where the tangent line to the curve is horizontal?

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To find the point on the graph of f where the tangent line is horizontal, we need to find the x-coordinate(s) where the derivative of f(x) is equal to zero. The derivative of f(x) is found by taking the derivative of each term separately and summing them up. In this case, the derivative of f(x) is 2x + 6. Setting this equal to zero and solving for x, we get x = -3. Therefore, the point on the graph of f where the tangent line is horizontal is (-3, f(-3)).

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